15210155142120 has 256 divisors, whose sum is σ = 48740575150080. Its totient is φ = 3783862784000.

The previous prime is 15210155142067. The next prime is 15210155142191. The reversal of 15210155142120 is 2124155101251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230595145 + ... + 230661095.

It is an arithmetic number, because the mean of its divisors is an integer number (190392871680).

Almost surely, 2^{15210155142120} is an apocalyptic number.

15210155142120 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 15210155142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24370287575040).

15210155142120 is an abundant number, since it is smaller than the sum of its proper divisors (33530420007960).

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

15210155142120 is a wasteful number, since it uses less digits than its factorization.

15210155142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66976 (or 66972 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 30.

The spelling of 15210155142120 in words is "fifteen trillion, two hundred ten billion, one hundred fifty-five million, one hundred forty-two thousand, one hundred twenty".