121461747854700 has 288 divisors, whose sum is σ = 421101087805440. Its totient is φ = 26682671980800.

The previous prime is 121461747854659. The next prime is 121461747854743. The reversal of 121461747854700 is 7458747164121.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40670704 + ... + 43554903.

It is an arithmetic number, because the mean of its divisors is an integer number (1462156554880).

Almost surely, 2^{121461747854700} is an apocalyptic number.

121461747854700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121461747854700 is an abundant number, since it is smaller than the sum of its proper divisors (299639339950740).

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

121461747854700 is a wasteful number, since it uses less digits than its factorization.

121461747854700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84225677 (or 84225670 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 57.

The spelling of 121461747854700 in words is "one hundred twenty-one trillion, four hundred sixty-one billion, seven hundred forty-seven million, eight hundred fifty-four thousand, seven hundred".