121420992 has 224 divisors, whose sum is σ = 411992064. Its totient is φ = 30643200.

The previous prime is 121420969. The next prime is 121420993. The reversal of 121420992 is 299024121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (121420993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635617 + ... + 635807.

Almost surely, 2^121420992 is an apocalyptic number.

121420992 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 121420992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205996032).

121420992 is an abundant number, since it is smaller than the sum of its proper divisors (290571072).

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

121420992 is a wasteful number, since it uses less digits than its factorization.

121420992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 121420992 is about 11019.1193840524. The cubic root of 121420992 is about 495.1817065787.

The spelling of 121420992 in words is "one hundred twenty-one million, four hundred twenty thousand, nine hundred ninety-two".