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12101012220 = 223511199471019
BaseRepresentation
bin10110100010100011…
…01100101011111100
31011020100012010001210
423101101230223330
5144240324342340
65320434404420
7605605623003
oct132121545374
934210163053
1012101012220
11514a784650
122418730710
1311ab070c7b
1482b1d3c3a
154ac575180
hex2d146cafc

12101012220 has 192 divisors, whose sum is σ = 38987827200. Its totient is φ = 2773520640.

The previous prime is 12101012197. The next prime is 12101012221. The reversal of 12101012220 is 2221010121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12101012196 and 12101012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101012221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11874871 + ... + 11875889.

It is an arithmetic number, because the mean of its divisors is an integer number (203061600).

Almost surely, 212101012220 is an apocalyptic number.

12101012220 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 12101012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19493913600).

12101012220 is an abundant number, since it is smaller than the sum of its proper divisors (26886814980).

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

12101012220 is a wasteful number, since it uses less digits than its factorization.

12101012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12101012220 its reverse (2221010121), we get a palindrome (14322022341).

The spelling of 12101012220 in words is "twelve billion, one hundred one million, twelve thousand, two hundred twenty".