12970802250000 has 945 divisors, whose sum is σ = 52937158391793. Its totient is φ = 2964754800000.

The previous prime is 12970802249969. The next prime is 12970802250013. The reversal of 12970802250000 is 5220807921.

The square root of 12970802250000 is 3601500.

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

12970802250000 is a `hidden beast` number, since 1 + 2 + 9 + 70 + 80 + 2 + 2 + 500 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11363667968016 + 1607134281984 = 3371004^2 + 1267728^2 .

It is a super-2 number, since 2×12970802250000² (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 an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1852971749997 + ... + 1852971750003.

Almost surely, 2^{12970802250000} is an apocalyptic number.

12970802250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12970802250000 is the 3601500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12970802250000

12970802250000 is an abundant number, since it is smaller than the sum of its proper divisors (39966356141793).

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

12970802250000 is an frugal number, since it uses more digits than its factorization.

12970802250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 12970802250000 by its sum of digits (36), we get a square (466948881000000 = 21609000²).

12970802250000 divided by its sum of digits (36) gives a square (360300062500 = 600250²).

The spelling of 12970802250000 in words is "twelve trillion, nine hundred seventy billion, eight hundred two million, two hundred fifty thousand".