121376238225984 has 672 divisors, whose sum is σ = 416062970459136. Its totient is φ = 34365682391040.

The previous prime is 121376238225971. The next prime is 121376238226003. The reversal of 121376238225984 is 489522832673121.

121376238225984 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 7 + 6 + 2 + 38 + 2 + 2 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10795710667 + ... + 10795721909.

It is an arithmetic number, because the mean of its divisors is an integer number (619141325088).

Almost surely, 2^{121376238225984} is an apocalyptic number.

121376238225984 is a gapful number since it is divisible by the number (14) 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 121376238225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208031485229568).

121376238225984 is an abundant number, since it is smaller than the sum of its proper divisors (294686732233152).

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

121376238225984 is a wasteful number, since it uses less digits than its factorization.

121376238225984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12165 (or 12143 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 121376238225984 in words is "one hundred twenty-one trillion, three hundred seventy-six billion, two hundred thirty-eight million, two hundred twenty-five thousand, nine hundred eighty-four".