121141920 has 96 divisors (see below), whose sum is σ = 398224512. Its totient is φ = 30897152.

The previous prime is 121141907. The next prime is 121141931. The reversal of 121141920 is 29141121.

It is a happy number.

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

It is a super-3 number, since 3×121141920³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5554 + ... + 16526.

It is an arithmetic number, because the mean of its divisors is an integer number (4148172).

Almost surely, 2^121141920 is an apocalyptic number.

121141920 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 121141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199112256).

121141920 is an abundant number, since it is smaller than the sum of its proper divisors (277082592).

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

121141920 is a wasteful number, since it uses less digits than its factorization.

121141920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11014 (or 11006 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 121141920 is about 11006.4490186436. The cubic root of 121141920 is about 494.8020430774.

The spelling of 121141920 in words is "one hundred twenty-one million, one hundred forty-one thousand, nine hundred twenty".