4012100224 has 64 divisors (see below), whose sum is σ = 8742052800. Its totient is φ = 1818961920.

The previous prime is 4012100179. The next prime is 4012100269. The reversal of 4012100224 is 4220012104.

It is an interprime number because it is at equal distance from previous prime (4012100179) and next prime (4012100269).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4012100198 and 4012100207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572389 + ... + 579355.

It is an arithmetic number, because the mean of its divisors is an integer number (136594575).

Almost surely, 2^4012100224 is an apocalyptic number.

4012100224 is a gapful number since it is divisible by the number (44) 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 4012100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371026400).

4012100224 is an abundant number, since it is smaller than the sum of its proper divisors (4729952576).

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

4012100224 is a wasteful number, since it uses less digits than its factorization.

4012100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7401 (or 7389 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4012100224 is about 63341.1416379591. The cubic root of 4012100224 is about 1589.0000996731. Note that the first 4 decimals are identical.

Adding to 4012100224 its reverse (4220012104), we get a palindrome (8232112328).

The spelling of 4012100224 in words is "four billion, twelve million, one hundred thousand, two hundred twenty-four".