1290222730400 has 72 divisors (see below), whose sum is σ = 3150086873724. Its totient is φ = 516034918400.

The previous prime is 1290222730351. The next prime is 1290222730429. The reversal of 1290222730400 is 40372220921.

It can be written as a sum of positive squares in 6 ways, for example, as 979157746576 + 311064983824 = 989524^2 + 557732^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8026820 + ... + 8185980.

Almost surely, 2^{1290222730400} is an apocalyptic number.

1290222730400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1290222730400 is an abundant number, since it is smaller than the sum of its proper divisors (1859864143324).

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

1290222730400 is a wasteful number, since it uses less digits than its factorization.

1290222730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169314 (or 169301 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 1290222730400 in words is "one trillion, two hundred ninety billion, two hundred twenty-two million, seven hundred thirty thousand, four hundred".