121000252680 has 160 divisors (see below), whose sum is σ = 407298196800. Its totient is φ = 32218902144.

The previous prime is 121000252661. The next prime is 121000252697. The reversal of 121000252680 is 86252000121.

It is a happy number.

It is a super-2 number, since 2×121000252680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2185581 + ... + 2240259.

It is an arithmetic number, because the mean of its divisors is an integer number (2545613730).

Almost surely, 2^121000252680 is an apocalyptic number.

121000252680 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 121000252680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203649098400).

121000252680 is an abundant number, since it is smaller than the sum of its proper divisors (286297944120).

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

121000252680 is a wasteful number, since it uses less digits than its factorization.

121000252680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55385 (or 55372 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

It can be divided in two parts, 121000 and 252680, that added together give a triangular number (373680 = T₈₆₄).

The spelling of 121000252680 in words is "one hundred twenty-one billion, two hundred fifty-two thousand, six hundred eighty".