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13121222213412 = 2232364478394817
BaseRepresentation
bin1011111011110000010111…
…0010011111111100100100
31201110101011112111000101100
42332330011302133330210
53204434230341312122
643523450053200100
72522656055410245
oct276740562377444
951411145430340
1013121222213412
1141a9751962945
12157ab92930030
13742431143991
143350db800ccc
1517b4a6ab4aac
hexbef05c9ff24

13121222213412 has 18 divisors (see below), whose sum is σ = 33167533928438. Its totient is φ = 4373740737792.

The previous prime is 13121222213387. The next prime is 13121222213471. The reversal of 13121222213412 is 21431222212131.

13121222213412 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 22 + 221 + 3 + 412 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12645320912676 + 475901300736 = 3556026^2 + 689856^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 182239197373 + ... + 182239197444.

Almost surely, 213121222213412 is an apocalyptic number.

13121222213412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13121222213412 is an abundant number, since it is smaller than the sum of its proper divisors (20046311715026).

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

13121222213412 is a wasteful number, since it uses less digits than its factorization.

13121222213412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364478394827 (or 364478394822 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 13121222213412 its reverse (21431222212131), we get a palindrome (34552444425543).

The spelling of 13121222213412 in words is "thirteen trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 364478394817 728956789634 1093435184451 1457913579268 2186870368902 3280305553353 4373740737804 6560611106706 13121222213412