121137120 has 240 divisors, whose sum is σ = 461039040. Its totient is φ = 29776896.

The previous prime is 121137109. The next prime is 121137127. The reversal of 121137120 is 21731121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 121137093 and 121137102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121137127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168121 + ... + 168839.

It is an arithmetic number, because the mean of its divisors is an integer number (1920996).

Almost surely, 2^121137120 is an apocalyptic number.

121137120 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 121137120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230519520).

121137120 is an abundant number, since it is smaller than the sum of its proper divisors (339901920).

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

121137120 is a wasteful number, since it uses less digits than its factorization.

121137120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 121137120 is about 11006.2309625048. The cubic root of 121137120 is about 494.7955078192.

Adding to 121137120 its reverse (21731121), we get a palindrome (142868241).

The spelling of 121137120 in words is "one hundred twenty-one million, one hundred thirty-seven thousand, one hundred twenty".