61212672000 has 840 divisors, whose sum is σ = 234655496712. Its totient is φ = 15925248000.

The previous prime is 61212671999. The next prime is 61212672043. The reversal of 61212672000 is 27621216.

61212672000 is a `hidden beast` number, since 612 + 1 + 26 + 7 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13807190016 + 47405481984 = 117504^2 + 217728^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1492991980 + ... + 1492992020.

Almost surely, 2^61212672000 is an apocalyptic number.

61212672000 is a gapful number since it is divisible by the number (60) 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 61212672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117327748356).

61212672000 is an abundant number, since it is smaller than the sum of its proper divisors (173442824712).

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

61212672000 is an frugal number, since it uses more digits than its factorization.

61212672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 61212672000 in words is "sixty-one billion, two hundred twelve million, six hundred seventy-two thousand".