121695685371120 has 320 divisors, whose sum is σ = 433006000128000. Its totient is φ = 27696470258688.

The previous prime is 121695685371047. The next prime is 121695685371133. The reversal of 121695685371120 is 21173586596121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5323742251 + ... + 5323765109.

It is an arithmetic number, because the mean of its divisors is an integer number (1353143750400).

Almost surely, 2^{121695685371120} is an apocalyptic number.

121695685371120 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 121695685371120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216503000064000).

121695685371120 is an abundant number, since it is smaller than the sum of its proper divisors (311310314756880).

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

121695685371120 is a wasteful number, since it uses less digits than its factorization.

121695685371120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36380 (or 36374 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 57.

The spelling of 121695685371120 in words is "one hundred twenty-one trillion, six hundred ninety-five billion, six hundred eighty-five million, three hundred seventy-one thousand, one hundred twenty".