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122412028230 = 23255325662899
BaseRepresentation
bin111001000000001010…
…0110101000101000110
3102200222002211100012100
41302000110311011012
54001144434400410
6132122454332530
711562325033452
oct1620024650506
9380862740170
10122412028230
1147a07442688
121b88365a146
13b70ab24acb
145cd3817662
1532b6b058c0
hex1c80535146

122412028230 has 48 divisors (see below), whose sum is σ = 324276404400. Its totient is φ = 32027296704.

The previous prime is 122412028217. The next prime is 122412028243. The reversal of 122412028230 is 32820214221.

122412028230 is a `hidden beast` number, since 1 + 224 + 1 + 202 + 8 + 230 = 666.

It is an interprime number because it is at equal distance from previous prime (122412028217) and next prime (122412028243).

It is a junction number, because it is equal to n+sod(n) for n = 122412028194 and 122412028203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12826680 + ... + 12836219.

It is an arithmetic number, because the mean of its divisors is an integer number (6755758425).

Almost surely, 2122412028230 is an apocalyptic number.

122412028230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122412028230 is an abundant number, since it is smaller than the sum of its proper divisors (201864376170).

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

122412028230 is a wasteful number, since it uses less digits than its factorization.

122412028230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25662965 (or 25662962 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 122412028230 in words is "one hundred twenty-two billion, four hundred twelve million, twenty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 25662899 51325798 76988697 128314495 153977394 230966091 256628990 384943485 461932182 769886970 1154830455 1360133647 2309660910 2720267294 4080400941 6800668235 8160801882 12241202823 13601336470 20402004705 24482405646 40804009410 61206014115 122412028230