121112881433640 has 192 divisors, whose sum is σ = 408239894462400. Its totient is φ = 32293237427712.

The previous prime is 121112881433629. The next prime is 121112881433641. The reversal of 121112881433640 is 46334188211121.

121112881433640 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 1 + 288 + 1 + 4 + 3 + 364 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (121112881433641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88834959 + ... + 90188001.

It is an arithmetic number, because the mean of its divisors is an integer number (2126249450325).

Almost surely, 2^{121112881433640} is an apocalyptic number.

121112881433640 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 121112881433640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204119947231200).

121112881433640 is an abundant number, since it is smaller than the sum of its proper divisors (287127013028760).

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

121112881433640 is a wasteful number, since it uses less digits than its factorization.

121112881433640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362278 (or 1362262 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 121112881433640 in words is "one hundred twenty-one trillion, one hundred twelve billion, eight hundred eighty-one million, four hundred thirty-three thousand, six hundred forty".