401212100 has 36 divisors (see below), whose sum is σ = 900658500. Its totient is φ = 154949760.

The previous prime is 401212093. The next prime is 401212103. The reversal of 401212100 is 1212104.

It can be written as a sum of positive squares in 6 ways, for example, as 43850884 + 357361216 = 6622^2 + 18904^2 .

It is a super-2 number, since 2×401212100² = 321942298372820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66275 + ... + 72074.

Almost surely, 2^401212100 is an apocalyptic number.

It is an amenable number.

401212100 is an abundant number, since it is smaller than the sum of its proper divisors (499446400).

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

401212100 is a wasteful number, since it uses less digits than its factorization.

401212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138392 (or 138385 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 401212100 is about 20030.2795786779. The cubic root of 401212100 is about 737.5497850142.

Adding to 401212100 its reverse (1212104), we get a palindrome (402424204).

The spelling of 401212100 in words is "four hundred one million, two hundred twelve thousand, one hundred".