4412120100 has 72 divisors (see below), whose sum is σ = 12821679360. Its totient is φ = 1171409280.

The previous prime is 4412120099. The next prime is 4412120101. The reversal of 4412120100 is 10212144.

It is an interprime number because it is at equal distance from previous prime (4412120099) and next prime (4412120101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4412120100.

It is not an unprimeable number, because it can be changed into a prime (4412120101) 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, 36589 + ... + 100811.

It is an arithmetic number, because the mean of its divisors is an integer number (178078880).

Almost surely, 2^4412120100 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 4412120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410839680).

4412120100 is an abundant number, since it is smaller than the sum of its proper divisors (8409559260).

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

4412120100 is a wasteful number, since it uses less digits than its factorization.

4412120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64469 (or 64462 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4412120100 is about 66423.7916713582. The cubic root of 4412120100 is about 1640.1457460201.

Adding to 4412120100 its reverse (10212144), we get a palindrome (4422332244).

The spelling of 4412120100 in words is "four billion, four hundred twelve million, one hundred twenty thousand, one hundred".