1312228101600 has 576 divisors, whose sum is σ = 5116060051200. Its totient is φ = 322687825920.

The previous prime is 1312228101589. The next prime is 1312228101631. The reversal of 1312228101600 is 61018222131.

1312228101600 is a `hidden beast` number, since 1 + 3 + 1 + 22 + 28 + 10 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 409685599 + ... + 409688801.

It is an arithmetic number, because the mean of its divisors is an integer number (8882048700).

Almost surely, 2^{1312228101600} is an apocalyptic number.

1312228101600 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 1312228101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558030025600).

1312228101600 is an abundant number, since it is smaller than the sum of its proper divisors (3803831949600).

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

1312228101600 is a wasteful number, since it uses less digits than its factorization.

1312228101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 1312228101600 in words is "one trillion, three hundred twelve billion, two hundred twenty-eight million, one hundred one thousand, six hundred".