4122924100 has 27 divisors (see below), whose sum is σ = 8948138871. Its totient is φ = 1648912800.

The previous prime is 4122924017. The next prime is 4122924101. The reversal of 4122924100 is 14292214.

The square root of 4122924100 is 64210.

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

It can be written as a sum of positive squares in 4 ways, for example, as 547840836 + 3575083264 = 23406^2 + 59792^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4122924101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 638890 + ... + 645310.

Almost surely, 2^4122924100 is an apocalyptic number.

4122924100 is the 64210-th square number.

It is an amenable number.

4122924100 is an abundant number, since it is smaller than the sum of its proper divisors (4825214771).

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

4122924100 is an frugal number, since it uses more digits than its factorization.

4122924100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12856 (or 6428 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The cubic root of 4122924100 is about 1603.4980887235.

Multiplying 4122924100 by its sum of digits (25), we get a square (103073102500 = 321050²).

4122924100 divided by its sum of digits (25) gives a square (164916964 = 12842²).

The spelling of 4122924100 in words is "four billion, one hundred twenty-two million, nine hundred twenty-four thousand, one hundred".