121161646651392 has 768 divisors, whose sum is σ = 384955558041600. Its totient is φ = 37520167403520.

The previous prime is 121161646651387. The next prime is 121161646651399. The reversal of 121161646651392 is 293156646161121.

121161646651392 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 6 + 1 + 64 + 66 + 513 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121161646651399) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39299916283 + ... + 39299919365.

It is an arithmetic number, because the mean of its divisors is an integer number (501244216200).

Almost surely, 2^{121161646651392} is an apocalyptic number.

121161646651392 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 121161646651392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192477779020800).

121161646651392 is an abundant number, since it is smaller than the sum of its proper divisors (263793911390208).

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

121161646651392 is a wasteful number, since it uses less digits than its factorization.

121161646651392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659 (or 3633 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 121161646651392 in words is "one hundred twenty-one trillion, one hundred sixty-one billion, six hundred forty-six million, six hundred fifty-one thousand, three hundred ninety-two".