121038255360 has 648 divisors, whose sum is σ = 467176574592. Its totient is φ = 28905676800.

The previous prime is 121038255353. The next prime is 121038255419. The reversal of 121038255360 is 63552830121.

121038255360 is a `hidden beast` number, since 1 + 2 + 10 + 38 + 2 + 553 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98967709 + ... + 98968931.

It is an arithmetic number, because the mean of its divisors is an integer number (720951504).

Almost surely, 2^121038255360 is an apocalyptic number.

121038255360 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 121038255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233588287296).

121038255360 is an abundant number, since it is smaller than the sum of its proper divisors (346138319232).

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

121038255360 is a wasteful number, since it uses less digits than its factorization.

121038255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 121038255360 in words is "one hundred twenty-one billion, thirty-eight million, two hundred fifty-five thousand, three hundred sixty".