1312210729200 has 720 divisors, whose sum is σ = 5122709982720. Its totient is φ = 285747517440.

The previous prime is 1312210729139. The next prime is 1312210729231. The reversal of 1312210729200 is 29270122131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 363793797 + ... + 363797403.

It is an arithmetic number, because the mean of its divisors is an integer number (7114874976).

Almost surely, 2^{1312210729200} is an apocalyptic number.

1312210729200 is a gapful number since it is divisible by the number (10) 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 1312210729200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561354991360).

1312210729200 is an abundant number, since it is smaller than the sum of its proper divisors (3810499253520).

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

1312210729200 is a wasteful number, since it uses less digits than its factorization.

1312210729200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 1312210729200 in words is "one trillion, three hundred twelve billion, two hundred ten million, seven hundred twenty-nine thousand, two hundred".