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122112012300030 = 23251917103665637
BaseRepresentation
bin11011110000111101101011…
…000111011010111011111110
3121000100210110002112021222100
4123300331223013122323332
5112001140400122100110
61111413252314125530
734502205333423504
oct3360755307327376
9530323402467870
10122112012300030
11359aa460542985
1211842161a208a6
13531a1620509cc
142222378080674
15e1b63121cbc0
hex6f0f6b1daefe

122112012300030 has 48 divisors (see below), whose sum is σ = 319153489784064. Its totient is φ = 32392715300160.

The previous prime is 122112012300017. The next prime is 122112012300049. The reversal of 122112012300030 is 30003210211221.

122112012300030 is a `hidden beast` number, since 122 + 11 + 201 + 2 + 300 + 0 + 30 = 666.

It is a super-2 number, since 2×1221120123000302 (a number of 29 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 = 122112012299976 and 122112012300012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3551815629 + ... + 3551850008.

It is an arithmetic number, because the mean of its divisors is an integer number (6649031037168).

Almost surely, 2122112012300030 is an apocalyptic number.

122112012300030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122112012300030 is an abundant number, since it is smaller than the sum of its proper divisors (197041477484034).

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

122112012300030 is a wasteful number, since it uses less digits than its factorization.

122112012300030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7103665841 (or 7103665838 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122112012300030 its reverse (30003210211221), we get a palindrome (152115222511251).

The spelling of 122112012300030 in words is "one hundred twenty-two trillion, one hundred twelve billion, twelve million, three hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 191 382 573 955 1146 1719 1910 2865 3438 5730 8595 17190 7103665637 14207331274 21310996911 35518328185 42621993822 63932990733 71036656370 106554984555 127865981466 213109969110 319664953665 639329907330 1356800136667 2713600273334 4070400410001 6784000683335 8140800820002 12211201230003 13568001366670 20352002050005 24422402460006 40704004100010 61056006150015 122112012300030