121382043552 has 576 divisors, whose sum is σ = 467668131840. Its totient is φ = 28901836800.

The previous prime is 121382043551. The next prime is 121382043557. The reversal of 121382043552 is 255340283121.

121382043552 is a `hidden beast` number, since 1 + 21 + 3 + 82 + 0 + 4 + 3 + 552 = 666.

It is a super-4 number, since 4×121382043552⁴ (a number of 45 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (121382043551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13057018 + ... + 13066310.

It is an arithmetic number, because the mean of its divisors is an integer number (811923840).

Almost surely, 2^121382043552 is an apocalyptic number.

121382043552 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 121382043552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233834065920).

121382043552 is an abundant number, since it is smaller than the sum of its proper divisors (346286088288).

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

121382043552 is a wasteful number, since it uses less digits than its factorization.

121382043552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9377 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 121382043552 in words is "one hundred twenty-one billion, three hundred eighty-two million, forty-three thousand, five hundred fifty-two".