121291872 has 96 divisors (see below), whose sum is σ = 363115872. Its totient is φ = 35119104.

The previous prime is 121291867. The next prime is 121291879. The reversal of 121291872 is 278192121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121291879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18358 + ... + 24074.

It is an arithmetic number, because the mean of its divisors is an integer number (3782457).

Almost surely, 2^121291872 is an apocalyptic number.

121291872 is a gapful number since it is divisible by the number (12) 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 121291872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181557936).

121291872 is an abundant number, since it is smaller than the sum of its proper divisors (241824000).

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

121291872 is a wasteful number, since it uses less digits than its factorization.

121291872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760 (or 5752 counting only the distinct ones).

The product of its digits is 4032, while the sum is 33.

The square root of 121291872 is about 11013.2589182312. The cubic root of 121291872 is about 495.0061176675.

The spelling of 121291872 in words is "one hundred twenty-one million, two hundred ninety-one thousand, eight hundred seventy-two".