15121691397120 has 1408 divisors, whose sum is σ = 61802237952000. Its totient is φ = 3128333107200.

The previous prime is 15121691397089. The next prime is 15121691397133. The reversal of 15121691397120 is 2179319612151.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 15121691397120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18023469661 + ... + 18023470499.

Almost surely, 2^{15121691397120} is an apocalyptic number.

15121691397120 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 15121691397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30901118976000).

15121691397120 is an abundant number, since it is smaller than the sum of its proper divisors (46680546554880).

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

15121691397120 is a wasteful number, since it uses less digits than its factorization.

15121691397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 48.

The spelling of 15121691397120 in words is "fifteen trillion, one hundred twenty-one billion, six hundred ninety-one million, three hundred ninety-seven thousand, one hundred twenty".