1213738905600 has 624 divisors, whose sum is σ = 4801950815200. Its totient is φ = 298757652480.

The previous prime is 1213738905557. The next prime is 1213738905629. The reversal of 1213738905600 is 65098373121.

1213738905600 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 7 + 3 + 89 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×1213738905600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35925516 + ... + 35959284.

Almost surely, 2^{1213738905600} is an apocalyptic number.

1213738905600 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 1213738905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400975407600).

1213738905600 is an abundant number, since it is smaller than the sum of its proper divisors (3588211909600).

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

1213738905600 is a wasteful number, since it uses less digits than its factorization.

1213738905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33825 (or 33792 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1213738905600 in words is "one trillion, two hundred thirteen billion, seven hundred thirty-eight million, nine hundred five thousand, six hundred".