12002233100 has 288 divisors, whose sum is σ = 31760467200. Its totient is φ = 3878784000.

The previous prime is 12002233043. The next prime is 12002233109. The reversal of 12002233100 is 133220021.

It is a happy number.

It is a super-2 number, since 2×12002233100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12002233109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80551826 + ... + 80551974.

It is an arithmetic number, because the mean of its divisors is an integer number (110279400).

Almost surely, 2^12002233100 is an apocalyptic number.

12002233100 is a gapful number since it is divisible by the number (10) 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 12002233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15880233600).

12002233100 is an abundant number, since it is smaller than the sum of its proper divisors (19758234100).

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

12002233100 is a wasteful number, since it uses less digits than its factorization.

12002233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12002233100 its reverse (133220021), we get a palindrome (12135453121).

The spelling of 12002233100 in words is "twelve billion, two million, two hundred thirty-three thousand, one hundred".