121563201764040 has 64 divisors (see below), whose sum is σ = 364694262226560. Its totient is φ = 32416439854080.

The previous prime is 121563201764027. The next prime is 121563201764047. The reversal of 121563201764040 is 40467102365121.

It is a super-2 number, since 2×121563201764040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121563201763983 and 121563201764001.

It is not an unprimeable number, because it can be changed into a prime (121563201764047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3026352 + ... + 15883488.

It is an arithmetic number, because the mean of its divisors is an integer number (5698347847290).

Almost surely, 2^{121563201764040} is an apocalyptic number.

121563201764040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121563201764040 is an abundant number, since it is smaller than the sum of its proper divisors (243131060462520).

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

121563201764040 is a wasteful number, since it uses less digits than its factorization.

121563201764040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12935942 (or 12935938 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 121563201764040 in words is "one hundred twenty-one trillion, five hundred sixty-three billion, two hundred one million, seven hundred sixty-four thousand, forty".