1506205800120 has 192 divisors, whose sum is σ = 5533001308800. Its totient is φ = 326155818240.

The previous prime is 1506205800041. The next prime is 1506205800137. The reversal of 1506205800120 is 210085026051.

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 47 ways as a sum of consecutive naturals, for example, 6629266 + ... + 6852705.

It is an arithmetic number, because the mean of its divisors is an integer number (28817715150).

Almost surely, 2^{1506205800120} is an apocalyptic number.

1506205800120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1506205800120 is an abundant number, since it is smaller than the sum of its proper divisors (4026795508680).

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

1506205800120 is a wasteful number, since it uses less digits than its factorization.

1506205800120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13482018 (or 13482007 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 1506205800120 in words is "one trillion, five hundred six billion, two hundred five million, eight hundred thousand, one hundred twenty".