12401757262720 has 128 divisors (see below), whose sum is σ = 33886940126400. Its totient is φ = 4251583365120.

The previous prime is 12401757262693. The next prime is 12401757262747. The reversal of 12401757262720 is 2726275710421.

It is an interprime number because it is at equal distance from previous prime (12401757262693) and next prime (12401757262747).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43893100 + ... + 44174740.

Almost surely, 2^{12401757262720} is an apocalyptic number.

12401757262720 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 12401757262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16943470063200).

12401757262720 is an abundant number, since it is smaller than the sum of its proper divisors (21485182863680).

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

12401757262720 is an equidigital number, since it uses as much as digits as its factorization.

12401757262720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291496 (or 291484 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 46.

The spelling of 12401757262720 in words is "twelve trillion, four hundred one billion, seven hundred fifty-seven million, two hundred sixty-two thousand, seven hundred twenty".