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122021233020 = 223257310191943
BaseRepresentation
bin111000110100100001…
…0000100000101111100
3102122221212110212221200
41301221002010011330
53444344413424040
6132020014255500
711546541240021
oct1615102040574
9378855425850
10122021233020
1147826894435
121b7947b7590
13b677b8713b
145c9796b548
15329265e630
hex1c6908417c

122021233020 has 144 divisors (see below), whose sum is σ = 378920348352. Its totient is φ = 31775155200.

The previous prime is 122021233003. The next prime is 122021233027. The reversal of 122021233020 is 20332120221.

122021233020 is a `hidden beast` number, since 122 + 0 + 212 + 330 + 2 + 0 = 666.

It is a super-2 number, since 2×1220212330202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122021232984 and 122021233002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021233027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1281169 + ... + 1373111.

It is an arithmetic number, because the mean of its divisors is an integer number (2631391308).

Almost surely, 2122021233020 is an apocalyptic number.

122021233020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122021233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189460174176).

122021233020 is an abundant number, since it is smaller than the sum of its proper divisors (256899115332).

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

122021233020 is a wasteful number, since it uses less digits than its factorization.

122021233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92132 (or 92127 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122021233020 its reverse (20332120221), we get a palindrome (142353353241).

The spelling of 122021233020 in words is "one hundred twenty-two billion, twenty-one million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 101 146 180 202 219 292 303 365 404 438 505 606 657 730 876 909 1010 1095 1212 1314 1460 1515 1818 2020 2190 2628 3030 3285 3636 4380 4545 6060 6570 7373 9090 13140 14746 18180 22119 29492 36865 44238 66357 73730 88476 91943 110595 132714 147460 183886 221190 265428 275829 331785 367772 442380 459715 551658 663570 827487 919430 1103316 1327140 1379145 1654974 1838860 2758290 3309948 4137435 5516580 6711839 8274870 9286243 13423678 16549740 18572486 20135517 26847356 27858729 33559195 37144972 40271034 46431215 55717458 60406551 67118390 80542068 83576187 92862430 100677585 111434916 120813102 134236780 139293645 167152374 185724860 201355170 241626204 278587290 302032755 334304748 402710340 417880935 557174580 604065510 677895739 835761870 1208131020 1355791478 1671523740 2033687217 2711582956 3389478695 4067374434 6101061651 6778957390 8134748868 10168436085 12202123302 13557914780 20336872170 24404246604 30505308255 40673744340 61010616510 122021233020