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122330152245488 = 241119631202928573
BaseRepresentation
bin11011110100001000110101…
…010001010001100011110000
3121001010122111122022200120112
4123310020311101101203300
5112013224122433323423
61112101410210200452
734524030132365045
oct3364106521214360
9531118448280515
10122330152245488
1135a83a20890640
12118784a0583128
1353348b758ba05
14222cb4d3bb1cc
15e2214be90a78
hex6f42354518f0

122330152245488 has 160 divisors (see below), whose sum is σ = 272745184857600. Its totient is φ = 52566811315200.

The previous prime is 122330152245487. The next prime is 122330152245547. The reversal of 122330152245488 is 884542251033221.

It is a super-2 number, since 2×1223301522454882 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122330152245487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4281305570 + ... + 4281334142.

It is an arithmetic number, because the mean of its divisors is an integer number (1704657405360).

Almost surely, 2122330152245488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122330152245488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136372592428800).

122330152245488 is an abundant number, since it is smaller than the sum of its proper divisors (150415032612112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122330152245488 is a wasteful number, since it uses less digits than its factorization.

122330152245488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31271 (or 31265 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 50.

The spelling of 122330152245488 in words is "one hundred twenty-two trillion, three hundred thirty billion, one hundred fifty-two million, two hundred forty-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 631 836 1262 1672 2029 2524 3344 4058 5048 6941 8116 10096 11989 13882 16232 22319 23978 27764 28573 32464 38551 44638 47956 55528 57146 77102 89276 95912 111056 114292 131879 154204 178552 191824 228584 263758 308408 314303 357104 424061 457168 527516 542887 616816 628606 848122 1055032 1085774 1257212 1280299 1696244 2110064 2171548 2514424 2560598 3392488 4343096 5028848 5121196 5971757 6784976 8686192 10242392 11943514 14083289 18029563 20484784 23887028 24325681 28166578 36059126 47774056 48651362 56333156 57974617 72118252 95548112 97302724 112666312 115949234 144236504 194605448 198325193 225332624 231898468 267582491 288473008 342561697 389210896 396650386 463796936 535164982 637720787 685123394 793300772 927593872 1070329964 1101517723 1275441574 1370246788 1586601544 2140659928 2203035446 2550883148 2740493576 3173203088 3768178667 4281319856 4406070892 5101766296 5480987152 7536357334 8812141784 10203532592 12116694953 15072714668 17624283568 24233389906 30145429336 36581983327 48466779812 60290858672 73163966654 96933559624 146327933308 193867119248 292655866616 402401816597 585311733232 695057683213 804803633194 1390115366426 1609607266388 2780230732852 3219214532776 5560461465704 6438429065552 7645634515343 11120922931408 15291269030686 30582538061372 61165076122744 122330152245488