12000148510800 has 120 divisors (see below), whose sum is σ = 38441385531360. Its totient is φ = 3199963865600.

The previous prime is 12000148510781. The next prime is 12000148510837. The reversal of 12000148510800 is 801584100021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65982391 + ... + 66164009.

It is an arithmetic number, because the mean of its divisors is an integer number (320344879428).

Almost surely, 2^{12000148510800} is an apocalyptic number.

12000148510800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000148510800 is an abundant number, since it is smaller than the sum of its proper divisors (26441237020560).

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

12000148510800 is a wasteful number, since it uses less digits than its factorization.

12000148510800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236701 (or 236690 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The spelling of 12000148510800 in words is "twelve trillion, one hundred forty-eight million, five hundred ten thousand, eight hundred".