3012401100 has 144 divisors (see below), whose sum is σ = 9070981920. Its totient is φ = 770918400.

The previous prime is 3012401083. The next prime is 3012401123. The reversal of 3012401100 is 11042103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1573744 + ... + 1575656.

It is an arithmetic number, because the mean of its divisors is an integer number (62992930).

Almost surely, 2^3012401100 is an apocalyptic number.

3012401100 is a gapful number since it is divisible by the number (30) 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 3012401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535490960).

3012401100 is an abundant number, since it is smaller than the sum of its proper divisors (6058580820).

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

3012401100 is a wasteful number, since it uses less digits than its factorization.

3012401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3012401100 is about 54885.3450385438. The cubic root of 3012401100 is about 1444.2341139943.

Adding to 3012401100 its reverse (11042103), we get a palindrome (3023443203).

The spelling of 3012401100 in words is "three billion, twelve million, four hundred one thousand, one hundred".