15110012141200 has 120 divisors (see below), whose sum is σ = 38573996496840. Its totient is φ = 5668230758400.

The previous prime is 15110012141173. The next prime is 15110012141311. The reversal of 15110012141200 is 214121001151.

It can be written as a sum of positive squares in 12 ways, for example, as 2215822782096 + 12894189359104 = 1488564^2 + 3590848^2 .

It is a super-2 number, since 2×15110012141200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2043045 + ... + 5864644.

It is an arithmetic number, because the mean of its divisors is an integer number (321449970807).

Almost surely, 2^{15110012141200} is an apocalyptic number.

15110012141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15110012141200 is an abundant number, since it is smaller than the sum of its proper divisors (23463984355640).

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

15110012141200 is a wasteful number, since it uses less digits than its factorization.

15110012141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7908005 (or 7907994 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 19.

Adding to 15110012141200 its reverse (214121001151), we get a palindrome (15324133142351).

The spelling of 15110012141200 in words is "fifteen trillion, one hundred ten billion, twelve million, one hundred forty-one thousand, two hundred".