Search a number
-
+
122000200001112 = 23371795631609739
BaseRepresentation
bin11011101111010101100010…
…100101010110011001011000
3120222222002211200221222212010
4123233111202211112121120
5111442322402200013422
61111250041304345520
734461136454522646
oct3357254245263130
9528862750858763
10122000200001112
1135966aa33a8874
12118245581752a0
13530c7532489a4
14221abac302196
15e18789e8cb0c
hex6ef562956658

122000200001112 has 128 divisors (see below), whose sum is σ = 313767945216000. Its totient is φ = 39516105982080.

The previous prime is 122000200001111. The next prime is 122000200001149. The reversal of 122000200001112 is 211100002000221.

It is a super-2 number, since 2×1220002000011122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000200001111) 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, 74983939 + ... + 76593677.

It is an arithmetic number, because the mean of its divisors is an integer number (2451312072000).

Almost surely, 2122000200001112 is an apocalyptic number.

122000200001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122000200001112 is an abundant number, since it is smaller than the sum of its proper divisors (191767745214888).

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

122000200001112 is a wasteful number, since it uses less digits than its factorization.

122000200001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610461 (or 1610457 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122000200001112 its reverse (211100002000221), we get a palindrome (333100202001333).

The spelling of 122000200001112 in words is "one hundred twenty-two trillion, two hundred million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 71 79 142 158 213 237 284 316 426 474 563 568 632 852 948 1126 1689 1704 1896 2252 3378 4504 5609 6756 11218 13512 16827 22436 33654 39973 44477 44872 67308 79946 88954 119919 133431 134616 159892 177908 239838 266862 319784 355816 479676 533724 959352 1067448 1609739 3157867 3219478 4829217 6315734 6438956 9473601 9658434 12631468 12877912 18947202 19316868 25262936 37894404 38633736 75788808 114291469 127169381 228582938 254338762 342874407 381508143 457165876 508677524 685748814 763016286 906283057 914331752 1017355048 1371497628 1526032572 1812566114 2718849171 2742995256 3052065144 3625132228 5437698342 7250264456 9029026051 10875396684 18058052102 21750793368 27087078153 36116104204 54174156306 64346097047 71596361503 72232208408 108348312612 128692194094 143192723006 193038291141 214789084509 216696625224 257384388188 286385446012 386076582282 429578169018 514768776376 572770892024 772153164564 859156338036 1544306329128 1718312676072 5083341666713 10166683333426 15250025000139 20333366666852 30500050000278 40666733333704 61000100000556 122000200001112