121973965551360 has 3456 divisors, whose sum is σ = 534262295024640. Its totient is φ = 26314879795200.

The previous prime is 121973965551349. The next prime is 121973965551371. The reversal of 121973965551360 is 63155569379121.

It is a happy number.

121973965551360 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 7 + 3 + 9 + 6 + 55 + 513 + 60 = 666.

121973965551360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121973965551349) and next prime (121973965551371).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 79669473795 + ... + 79669475325.

It is an arithmetic number, because the mean of its divisors is an integer number (154589784440).

Almost surely, 2^{121973965551360} is an apocalyptic number.

121973965551360 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 121973965551360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267131147512320).

121973965551360 is an abundant number, since it is smaller than the sum of its proper divisors (412288329473280).

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

121973965551360 is a wasteful number, since it uses less digits than its factorization.

121973965551360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 45927000, while the sum is 63.

The spelling of 121973965551360 in words is "one hundred twenty-one trillion, nine hundred seventy-three billion, nine hundred sixty-five million, five hundred fifty-one thousand, three hundred sixty".