121137780 has 96 divisors (see below), whose sum is σ = 362734848. Its totient is φ = 30131200.

The previous prime is 121137769. The next prime is 121137781. The reversal of 121137780 is 87731121.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121137781) 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, 55510 + ... + 57650.

It is an arithmetic number, because the mean of its divisors is an integer number (3778488).

Almost surely, 2^121137780 is an apocalyptic number.

121137780 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 121137780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181367424).

121137780 is an abundant number, since it is smaller than the sum of its proper divisors (241597068).

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

121137780 is a wasteful number, since it uses less digits than its factorization.

121137780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 121137780 is about 11006.2609454801. The cubic root of 121137780 is about 494.7964064275.

The spelling of 121137780 in words is "one hundred twenty-one million, one hundred thirty-seven thousand, seven hundred eighty".