3100120400 has 120 divisors (see below), whose sum is σ = 8065134840. Its totient is φ = 1138360320.

The previous prime is 3100120393. The next prime is 3100120409. The reversal of 3100120400 is 40210013.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1037870656 + 2062249744 = 32216^2 + 45412^2 .

It is a super-2 number, since 2×3100120400² = 19221492988992320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3100120409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002056 + ... + 1005144.

It is an arithmetic number, because the mean of its divisors is an integer number (67209457).

Almost surely, 2^3100120400 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 3100120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032567420).

3100120400 is an abundant number, since it is smaller than the sum of its proper divisors (4965014440).

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

3100120400 is a wasteful number, since it uses less digits than its factorization.

3100120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 3100120400 is about 55678.7248417203. The cubic root of 3100120400 is about 1458.1186124864.

Adding to 3100120400 its reverse (40210013), we get a palindrome (3140330413).

The spelling of 3100120400 in words is "three billion, one hundred million, one hundred twenty thousand, four hundred".