10121319243360 has 1344 divisors, whose sum is σ = 40125014084736. Its totient is φ = 2395356364800.

The previous prime is 10121319243337. The next prime is 10121319243377. The reversal of 10121319243360 is 6334291312101.

10121319243360 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 319 + 2 + 4 + 336 + 0 = 666.

It is a super-2 number, since 2×10121319243360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4414006374 + ... + 4414008666.

It is an arithmetic number, because the mean of its divisors is an integer number (29854921194).

Almost surely, 2^{10121319243360} is an apocalyptic number.

10121319243360 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 10121319243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20062507042368).

10121319243360 is an abundant number, since it is smaller than the sum of its proper divisors (30003694841376).

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

10121319243360 is a wasteful number, since it uses less digits than its factorization.

10121319243360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10121319243360 in words is "ten trillion, one hundred twenty-one billion, three hundred nineteen million, two hundred forty-three thousand, three hundred sixty".