121406672217360 has 160 divisors (see below), whose sum is σ = 386588240019072. Its totient is φ = 31495574753280.

The previous prime is 121406672217301. The next prime is 121406672217361. The reversal of 121406672217360 is 63712276604121.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (121406672217361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60921852 + ... + 62883108.

Almost surely, 2^{121406672217360} is an apocalyptic number.

121406672217360 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 121406672217360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193294120009536).

121406672217360 is an abundant number, since it is smaller than the sum of its proper divisors (265181567801712).

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

121406672217360 is a wasteful number, since it uses less digits than its factorization.

121406672217360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968281 (or 1968275 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 121406672217360 in words is "one hundred twenty-one trillion, four hundred six billion, six hundred seventy-two million, two hundred seventeen thousand, three hundred sixty".