121374926472800 has 864 divisors, whose sum is σ = 412929174841344. Its totient is φ = 33794482176000.

The previous prime is 121374926472733. The next prime is 121374926472829. The reversal of 121374926472800 is 8274629473121.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 322534352 + ... + 322910448.

It is an arithmetic number, because the mean of its divisors is an integer number (477927285696).

Almost surely, 2^{121374926472800} is an apocalyptic number.

121374926472800 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 121374926472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206464587420672).

121374926472800 is an abundant number, since it is smaller than the sum of its proper divisors (291554248368544).

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

121374926472800 is a wasteful number, since it uses less digits than its factorization.

121374926472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376192 (or 376166 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 121374926472800 in words is "one hundred twenty-one trillion, three hundred seventy-four billion, nine hundred twenty-six million, four hundred seventy-two thousand, eight hundred".