90120040000 has 315 divisors, whose sum is σ = 238872151287. Its totient is φ = 33718464000.

The previous prime is 90120039949. The next prime is 90120040039. The reversal of 90120040000 is 4002109.

The square root of 90120040000 is 300200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 7065411136 + 83054628864 = 84056^2 + 288192^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1140759961 + ... + 1140760039.

Almost surely, 2^90120040000 is an apocalyptic number.

90120040000 is the 300200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90120040000

90120040000 is an abundant number, since it is smaller than the sum of its proper divisors (148752111287).

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

90120040000 is an frugal number, since it uses more digits than its factorization.

90120040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Multiplying 90120040000 by its sum of digits (16), we get a square (1441920640000 = 1200800²).

90120040000 divided by its sum of digits (16) gives a square (5632502500 = 75050²).

Adding to 90120040000 its reverse (4002109), we get a palindrome (90124042109).

The spelling of 90120040000 in words is "ninety billion, one hundred twenty million, forty thousand".