121733120 has 64 divisors (see below), whose sum is σ = 292548240. Its totient is φ = 48627712.

The previous prime is 121733119. The next prime is 121733123. The reversal of 121733120 is 21337121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121733092 and 121733101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121733123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163469 + ... + 164211.

Almost surely, 2^121733120 is an apocalyptic number.

121733120 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 121733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146274120).

121733120 is an abundant number, since it is smaller than the sum of its proper divisors (170815120).

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

121733120 is an frugal number, since it uses more digits than its factorization.

121733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 121733120 is about 11033.2733130291. The cubic root of 121733120 is about 495.6056525627.

The spelling of 121733120 in words is "one hundred twenty-one million, seven hundred thirty-three thousand, one hundred twenty".