121772160 has 288 divisors, whose sum is σ = 451701900. Its totient is φ = 31352832.

The previous prime is 121772149. The next prime is 121772177. The reversal of 121772160 is 61277121.

It can be written as a sum of positive squares in 2 ways, for example, as 121352256 + 419904 = 11016^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4199026 + ... + 4199054.

Almost surely, 2^121772160 is an apocalyptic number.

121772160 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 121772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225850950).

121772160 is an abundant number, since it is smaller than the sum of its proper divisors (329929740).

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

121772160 is an frugal number, since it uses more digits than its factorization.

121772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 121772160 is about 11035.0423651203. The cubic root of 121772160 is about 495.6586274000.

The spelling of 121772160 in words is "one hundred twenty-one million, seven hundred seventy-two thousand, one hundred sixty".