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12102220020 = 223511107409419
BaseRepresentation
bin10110100010101100…
…10011100011110100
31011020102110110212010
423101112103203310
5144241132020040
65320520324220
7605622113202
oct132126234364
934212413763
1012102220020
11515042a030
122419013670
1311ab3a4947
1482b42a072
154ac712e80
hex2d15938f4

12102220020 has 192 divisors, whose sum is σ = 37492761600. Its totient is φ = 2892426240.

The previous prime is 12102219973. The next prime is 12102220027. The reversal of 12102220020 is 2002220121.

12102220020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12102219978 and 12102220005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102220027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28883371 + ... + 28883789.

It is an arithmetic number, because the mean of its divisors is an integer number (195274800).

Almost surely, 212102220020 is an apocalyptic number.

12102220020 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 12102220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18746380800).

12102220020 is an abundant number, since it is smaller than the sum of its proper divisors (25390541580).

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

12102220020 is a wasteful number, since it uses less digits than its factorization.

12102220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12102220020 its reverse (2002220121), we get a palindrome (14104440141).

The spelling of 12102220020 in words is "twelve billion, one hundred two million, two hundred twenty thousand, twenty".