121870126560 has 288 divisors, whose sum is σ = 480919475232. Its totient is φ = 25713192960.

The previous prime is 121870126531. The next prime is 121870126561. The reversal of 121870126560 is 65621078121.

121870126560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121870126561) 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, 106470 + ... + 505050.

It is an arithmetic number, because the mean of its divisors is an integer number (1669859289).

Almost surely, 2^121870126560 is an apocalyptic number.

121870126560 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 121870126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240459737616).

121870126560 is an abundant number, since it is smaller than the sum of its proper divisors (359049348672).

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

121870126560 is a wasteful number, since it uses less digits than its factorization.

121870126560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398626 (or 398611 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 121870126560 in words is "one hundred twenty-one billion, eight hundred seventy million, one hundred twenty-six thousand, five hundred sixty".