1208520413100 has 2160 divisors, whose sum is σ = 5431039891200. Its totient is φ = 228483763200.

The previous prime is 1208520413083. The next prime is 1208520413159. The reversal of 1208520413100 is 13140258021.

1208520413100 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 520 + 4 + 131 + 0 + 0 = 666.

It is a super-2 number, since 2×1208520413100² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 6072966801 + ... + 6072966999.

It is an arithmetic number, because the mean of its divisors is an integer number (2514370320).

Almost surely, 2^{1208520413100} is an apocalyptic number.

1208520413100 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 1208520413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715519945600).

1208520413100 is an abundant number, since it is smaller than the sum of its proper divisors (4222519478100).

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

1208520413100 is a wasteful number, since it uses less digits than its factorization.

1208520413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 1208520413100 in words is "one trillion, two hundred eight billion, five hundred twenty million, four hundred thirteen thousand, one hundred".