3120140100 has 288 divisors, whose sum is σ = 11849241600. Its totient is φ = 614131200.

The previous prime is 3120140077. The next prime is 3120140117. The reversal of 3120140100 is 10410213.

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 95 ways as a sum of consecutive naturals, for example, 435346 + ... + 442454.

It is an arithmetic number, because the mean of its divisors is an integer number (41143200).

Almost surely, 2^3120140100 is an apocalyptic number.

3120140100 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 3120140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924620800).

3120140100 is an abundant number, since it is smaller than the sum of its proper divisors (8729101500).

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

3120140100 is a wasteful number, since it uses less digits than its factorization.

3120140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7163 (or 7156 counting only the distinct ones).

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

The square root of 3120140100 is about 55858.2142571708. The cubic root of 3120140100 is about 1461.2505860817.

Adding to 3120140100 its reverse (10410213), we get a palindrome (3130550313).

The spelling of 3120140100 in words is "three billion, one hundred twenty million, one hundred forty thousand, one hundred".