147212121600 has 1440 divisors, whose sum is σ = 598416698880. Its totient is φ = 35712368640.

The previous prime is 147212121599. The next prime is 147212121613. The reversal of 147212121600 is 6121212741.

147212121600 is a `hidden beast` number, since 1 + 47 + 2 + 1 + 2 + 12 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2777587174 + ... + 2777587226.

It is an arithmetic number, because the mean of its divisors is an integer number (415567152).

Almost surely, 2^147212121600 is an apocalyptic number.

147212121600 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 147212121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299208349440).

147212121600 is an abundant number, since it is smaller than the sum of its proper divisors (451204577280).

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

147212121600 is an equidigital number, since it uses as much as digits as its factorization.

147212121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 147212121600 in words is "one hundred forty-seven billion, two hundred twelve million, one hundred twenty-one thousand, six hundred".