92121120 has 576 divisors, whose sum is σ = 418279680. Its totient is φ = 17915904.

The previous prime is 92121091. The next prime is 92121121. The reversal of 92121120 is 2112129.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 92121093 and 92121102.

It is not an unprimeable number, because it can be changed into a prime (92121121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2489742 + ... + 2489778.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 2^92121120 is an apocalyptic number.

92121120 is a gapful number since it is divisible by the number (90) 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 92121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

92121120 is an abundant number, since it is smaller than the sum of its proper divisors (326158560).

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

92121120 is a wasteful number, since it uses less digits than its factorization.

92121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 92121120 is about 9597.9747863807. The cubic root of 92121120 is about 451.6337649964.

Adding to 92121120 its reverse (2112129), we get a palindrome (94233249).

The spelling of 92121120 in words is "ninety-two million, one hundred twenty-one thousand, one hundred twenty".