12401122156640 has 192 divisors, whose sum is σ = 35472534249600. Its totient is φ = 3999458820096.

The previous prime is 12401122156613. The next prime is 12401122156667. The reversal of 12401122156640 is 4665122110421.

It is an interprime number because it is at equal distance from previous prime (12401122156613) and next prime (12401122156667).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 12401122156640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33880526 + ... + 34244594.

It is an arithmetic number, because the mean of its divisors is an integer number (184752782550).

Almost surely, 2^{12401122156640} is an apocalyptic number.

12401122156640 is a gapful number since it is divisible by the number (10) 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 12401122156640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17736267124800).

12401122156640 is an abundant number, since it is smaller than the sum of its proper divisors (23071412092960).

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

12401122156640 is a wasteful number, since it uses less digits than its factorization.

12401122156640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365897 (or 365889 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 12401122156640 in words is "twelve trillion, four hundred one billion, one hundred twenty-two million, one hundred fifty-six thousand, six hundred forty".