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12221111100 = 223521137101991
BaseRepresentation
bin10110110000110111…
…10101101100111100
31011112201011202202110
423120123311230330
5200012101023400
65340404454020
7611564505342
oct133033655474
934481152673
1012221111100
115201553720
1224509aa310
1311c9c00bb3
1483d137992
154b7d99e50
hex2d86f5b3c

12221111100 has 288 divisors, whose sum is σ = 40049436672. Its totient is φ = 2851200000.

The previous prime is 12221111099. The next prime is 12221111101. The reversal of 12221111100 is 111112221.

It is an interprime number because it is at equal distance from previous prime (12221111099) and next prime (12221111101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221111101) 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, 12331605 + ... + 12332595.

It is an arithmetic number, because the mean of its divisors is an integer number (139060544).

Almost surely, 212221111100 is an apocalyptic number.

12221111100 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 12221111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20024718336).

12221111100 is an abundant number, since it is smaller than the sum of its proper divisors (27828325572).

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

12221111100 is a wasteful number, since it uses less digits than its factorization.

12221111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12221111100 its reverse (111112221), we get a palindrome (12332223321).

It can be divided in two parts, 12221 and 111100, that added together give a palindrome (123321).

The spelling of 12221111100 in words is "twelve billion, two hundred twenty-one million, one hundred eleven thousand, one hundred".