9092120400 has 600 divisors, whose sum is σ = 36101064384. Its totient is φ = 2173132800.

The previous prime is 9092120399. The next prime is 9092120419. The reversal of 9092120400 is 40212909.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34570669 + ... + 34570931.

Almost surely, 2^9092120400 is an apocalyptic number.

9092120400 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 9092120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18050532192).

9092120400 is an abundant number, since it is smaller than the sum of its proper divisors (27008943984).

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

9092120400 is a wasteful number, since it uses less digits than its factorization.

9092120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9092120400 is about 95352.6108714386. The cubic root of 9092120400 is about 2087.1567145593.

The spelling of 9092120400 in words is "nine billion, ninety-two million, one hundred twenty thousand, four hundred".