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122030021412 = 22321319910911201
BaseRepresentation
bin111000110100110001…
…1100101101100100100
3102122222111000101100200
41301221203211230210
53444404141141122
6132020530510500
711550006032115
oct1615143455444
9378874011320
10122030021412
1147830847272
121b797735430
13b679943380
145c98bb820c
1532932e85ac
hex1c698e5b24

122030021412 has 144 divisors (see below), whose sum is σ = 334446403200. Its totient is φ = 37293696000.

The previous prime is 122030021341. The next prime is 122030021413. The reversal of 122030021412 is 214120030221.

It is a happy number.

122030021412 is a `hidden beast` number, since 1 + 220 + 30 + 0 + 2 + 1 + 412 = 666.

It is a super-2 number, since 2×1220300214122 (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 not an unprimeable number, because it can be changed into a prime (122030021413) 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, 101606412 + ... + 101607612.

Almost surely, 2122030021412 is an apocalyptic number.

122030021412 is a gapful number since it is divisible by the number (12) 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 122030021412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167223201600).

122030021412 is an abundant number, since it is smaller than the sum of its proper divisors (212416381788).

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

122030021412 is a wasteful number, since it uses less digits than its factorization.

122030021412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122030021412 its reverse (214120030221), we get a palindrome (336150051633).

The spelling of 122030021412 in words is "one hundred twenty-two billion, thirty million, twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 199 234 398 468 597 796 1091 1194 1201 1791 2182 2388 2402 2587 3273 3582 3603 4364 4804 5174 6546 7164 7206 7761 9819 10348 10809 13092 14183 14412 15522 15613 19638 21618 23283 28366 31044 31226 39276 42549 43236 46566 46839 56732 62452 85098 93132 93678 127647 140517 170196 187356 217109 238999 255294 281034 434218 477998 510588 562068 651327 716997 868436 955996 1302654 1310291 1433994 1953981 2150991 2605308 2620582 2822417 2867988 3106987 3907962 3930873 4301982 5241164 5644834 6213974 7815924 7861746 8467251 8603964 9320961 11289668 11792619 12427948 15723492 16934502 17033783 18641922 23585238 25401753 27962883 33869004 34067566 37283844 47170476 50803506 51101349 55925766 68135132 101607012 102202698 111851532 153304047 204405396 260747909 306608094 521495818 613216188 782243727 1042991636 1564487454 2346731181 3128974908 3389722817 4693462362 6779445634 9386924724 10169168451 13558891268 20338336902 30507505353 40676673804 61015010706 122030021412