121812223559040 has 640 divisors, whose sum is σ = 497920535449920. Its totient is φ = 27800101601280.

The previous prime is 121812223559017. The next prime is 121812223559083. The reversal of 121812223559040 is 40955322218121.

It is a happy number.

121812223559040 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 1 + 2 + 22 + 35 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 236703610 + ... + 237217670.

Almost surely, 2^{121812223559040} is an apocalyptic number.

121812223559040 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 121812223559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248960267724960).

121812223559040 is an abundant number, since it is smaller than the sum of its proper divisors (376108311890880).

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

121812223559040 is an equidigital number, since it uses as much as digits as its factorization.

121812223559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514752 (or 514731 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 121812223559040 in words is "one hundred twenty-one trillion, eight hundred twelve billion, two hundred twenty-three million, five hundred fifty-nine thousand, forty".