12150034776100 has 81 divisors (see below), whose sum is σ = 28550770786713. Its totient is φ = 4485999373440.

The previous prime is 12150034776073. The next prime is 12150034776157. The reversal of 12150034776100 is 167743005121.

The square root of 12150034776100 is 3485690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 9286927122916 + 2863107653184 = 3047446^2 + 1692072^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12150034776100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 453126294 + ... + 453153106.

Almost surely, 2^{12150034776100} is an apocalyptic number.

12150034776100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12150034776100 is the 3485690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12150034776100

12150034776100 is an abundant number, since it is smaller than the sum of its proper divisors (16400736010613).

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

12150034776100 is an frugal number, since it uses more digits than its factorization.

12150034776100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53666 (or 26833 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 12150034776100 in words is "twelve trillion, one hundred fifty billion, thirty-four million, seven hundred seventy-six thousand, one hundred".