121245064192 has 352 divisors, whose sum is σ = 301842432000. Its totient is φ = 47530229760.

The previous prime is 121245064177. The next prime is 121245064247. The reversal of 121245064192 is 291460542121.

It is a super-2 number, since 2×121245064192² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634790817 + ... + 634791007.

Almost surely, 2^121245064192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121245064192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150921216000).

121245064192 is an abundant number, since it is smaller than the sum of its proper divisors (180597367808).

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

121245064192 is a wasteful number, since it uses less digits than its factorization.

121245064192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 121245064192 in words is "one hundred twenty-one billion, two hundred forty-five million, sixty-four thousand, one hundred ninety-two".