121938393846672 has 1120 divisors, whose sum is σ = 397030884397056. Its totient is φ = 36023060275200.

The previous prime is 121938393846629. The next prime is 121938393846673. The reversal of 121938393846672 is 276648393839121.

It is a happy number.

121938393846672 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 3 + 8 + 3 + 93 + 8 + 466 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 121938393846672.

It is not an unprimeable number, because it can be changed into a prime (121938393846673) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 122305309278 + ... + 122305310274.

Almost surely, 2^{121938393846672} is an apocalyptic number.

121938393846672 is a gapful number since it is divisible by the number (12) 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 121938393846672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198515442198528).

121938393846672 is an abundant number, since it is smaller than the sum of its proper divisors (275092490550384).

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

121938393846672 is a wasteful number, since it uses less digits than its factorization.

121938393846672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1350 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 121938393846672 in words is "one hundred twenty-one trillion, nine hundred thirty-eight billion, three hundred ninety-three million, eight hundred forty-six thousand, six hundred seventy-two".