1213707628800 has 1296 divisors, whose sum is σ = 4932111824640. Its totient is φ = 293926993920.

The previous prime is 1213707628741. The next prime is 1213707628807. The reversal of 1213707628800 is 88267073121.

1213707628800 is a `hidden beast` number, since 1 + 2 + 13 + 7 + 0 + 7 + 628 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is not an unprimeable number, because it can be changed into a prime (1213707628807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 766712809 + ... + 766714391.

It is an arithmetic number, because the mean of its divisors is an integer number (3805641840).

Almost surely, 2^{1213707628800} is an apocalyptic number.

1213707628800 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 1213707628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466055912320).

1213707628800 is an abundant number, since it is smaller than the sum of its proper divisors (3718404195840).

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

1213707628800 is a wasteful number, since it uses less digits than its factorization.

1213707628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1213707628800 in words is "one trillion, two hundred thirteen billion, seven hundred seven million, six hundred twenty-eight thousand, eight hundred".