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12231873990144 = 293216721317459
BaseRepresentation
bin1011000111111111010010…
…0000010000111000000000
31121022100121022220020212100
42301333310200100320000
53100401334220141034
642003124554230400
72401503145265334
oct261776440207000
947270538806770
1012231873990144
113996565a8a616
121456751a25400
136a95cb3cb953
14304050d617c4
151632a4790099
hexb1ff4810e00

12231873990144 has 240 divisors, whose sum is σ = 35534834375040. Its totient is φ = 4050431447040.

The previous prime is 12231873990143. The next prime is 12231873990179. The reversal of 12231873990144 is 44109937813221.

12231873990144 is a `hidden beast` number, since 1 + 2 + 2 + 31 + 87 + 399 + 0 + 144 = 666.

It is a super-2 number, since 2×122318739901442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231873990143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1639877487 + ... + 1639884945.

It is an arithmetic number, because the mean of its divisors is an integer number (148061809896).

Almost surely, 212231873990144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12231873990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17767417187520).

12231873990144 is an abundant number, since it is smaller than the sum of its proper divisors (23302960384896).

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

12231873990144 is a wasteful number, since it uses less digits than its factorization.

12231873990144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9781 (or 9762 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 12231873990144 in words is "twelve trillion, two hundred thirty-one billion, eight hundred seventy-three million, nine hundred ninety thousand, one hundred forty-four".