121563268260 has 96 divisors (see below), whose sum is σ = 389631728640. Its totient is φ = 27740942208.

The previous prime is 121563268249. The next prime is 121563268271. The reversal of 121563268260 is 62862365121.

121563268260 = T₈₃₃₂₈ + T₈₃₃₂₉ + ... + T₈₃₃₆₂.

It is an interprime number because it is at equal distance from previous prime (121563268249) and next prime (121563268271).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26187 + ... + 493773.

It is an arithmetic number, because the mean of its divisors is an integer number (4058663840).

Almost surely, 2^121563268260 is an apocalyptic number.

121563268260 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 121563268260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194815864320).

121563268260 is an abundant number, since it is smaller than the sum of its proper divisors (268068460380).

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

121563268260 is a wasteful number, since it uses less digits than its factorization.

121563268260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468225 (or 468223 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 121563268260 in words is "one hundred twenty-one billion, five hundred sixty-three million, two hundred sixty-eight thousand, two hundred sixty".