1220671425600 has 1701 divisors, whose sum is σ = 5116883581173. Its totient is φ = 286374528000.

The previous prime is 1220671425559. The next prime is 1220671425601. The reversal of 1220671425600 is 65241760221.

It is a happy number.

The square root of 1220671425600 is 1104840.

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

1220671425600 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 6 + 7 + 1 + 42 + 5 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 439441713216 + 781229712384 = 662904^2 + 883872^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1220671425601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 39376497585 + ... + 39376497615.

Almost surely, 2^{1220671425600} is an apocalyptic number.

1220671425600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1220671425600 is the 1104840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220671425600

1220671425600 is an abundant number, since it is smaller than the sum of its proper divisors (3896212155573).

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

1220671425600 is an frugal number, since it uses more digits than its factorization.

1220671425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 1220671425600 by its sum of digits (36), we get a square (43944171321600 = 6629040²).

1220671425600 divided by its sum of digits (36) gives a square (33907539600 = 184140²).

The spelling of 1220671425600 in words is "one trillion, two hundred twenty billion, six hundred seventy-one million, four hundred twenty-five thousand, six hundred".