1201479054400 has 189 divisors, whose sum is σ = 3008528971119. Its totient is φ = 472261109760.

The previous prime is 1201479054397. The next prime is 1201479054427. The reversal of 1201479054400 is 44509741021.

The square root of 1201479054400 is 1096120.

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

It can be written as a sum of positive squares in 4 ways, for example, as 137973616704 + 1063505437696 = 371448^2 + 1031264^2 .

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 1201479054400.

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, 2937601396 + ... + 2937601804.

Almost surely, 2^{1201479054400} is an apocalyptic number.

1201479054400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1201479054400 is the 1096120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201479054400

1201479054400 is an abundant number, since it is smaller than the sum of its proper divisors (1807049916719).

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

1201479054400 is an frugal number, since it uses more digits than its factorization.

1201479054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 1201479054400 in words is "one trillion, two hundred one billion, four hundred seventy-nine million, fifty-four thousand, four hundred".