9402120000 has 1260 divisors, whose sum is σ = 43216569396. Its totient is φ = 1935360000.

The previous prime is 9402119971. The next prime is 9402120001. The reversal of 9402120000 is 212049.

It can be written as a sum of positive squares in 10 ways, for example, as 9396588096 + 5531904 = 96936^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9402120001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 229319980 + ... + 229320020.

Almost surely, 2^9402120000 is an apocalyptic number.

9402120000 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 9402120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21608284698).

9402120000 is an abundant number, since it is smaller than the sum of its proper divisors (33814449396).

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

9402120000 is a wasteful number, since it uses less digits than its factorization.

9402120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 9402120000 is about 96964.5295971676. The cubic root of 9402120000 is about 2110.6129408303.

Adding to 9402120000 its reverse (212049), we get a palindrome (9402332049).

The spelling of 9402120000 in words is "nine billion, four hundred two million, one hundred twenty thousand".