1200146508900 has 144 divisors (see below), whose sum is σ = 3879804801600. Its totient is φ = 318251013120.

The previous prime is 1200146508877. The next prime is 1200146508907. The reversal of 1200146508900 is 98056410021.

1200146508900 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 146 + 508 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1200146508907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 758317 + ... + 1724916.

It is an arithmetic number, because the mean of its divisors is an integer number (26943088900).

Almost surely, 2^{1200146508900} is an apocalyptic number.

1200146508900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200146508900 is an abundant number, since it is smaller than the sum of its proper divisors (2679658292700).

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

1200146508900 is a wasteful number, since it uses less digits than its factorization.

1200146508900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483435 (or 2483422 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1200146508900 in words is "one trillion, two hundred billion, one hundred forty-six million, five hundred eight thousand, nine hundred".