4122900 has 90 divisors (see below), whose sum is σ = 13391070. Its totient is φ = 1097280.

The previous prime is 4122893. The next prime is 4122913. The reversal of 4122900 is 92214.

It can be written as a sum of positive squares in 3 ways, for example, as 685584 + 3437316 = 828^2 + 1854^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7846 + ... + 8354.

Almost surely, 2^4122900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695535).

4122900 is an abundant number, since it is smaller than the sum of its proper divisors (9268170).

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

4122900 is a wasteful number, since it uses less digits than its factorization.

4122900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 519 counting only the distinct ones).

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

The square root of 4122900 is about 2030.4925510821. The cubic root of 4122900 is about 160.3494964373.

Subtracting from 4122900 its product of nonzero digits (144), we obtain a triangular number (4122756 = T₂₈₇₁).

The spelling of 4122900 in words is "four million, one hundred twenty-two thousand, nine hundred".