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12010400220 = 22357132718117
BaseRepresentation
bin10110010111110000…
…00010100111011100
31011000000200112202210
423023320002213130
5144044130301340
65303440320420
7603425501040
oct131370024734
934000615683
1012010400220
1151036154a5
1223b2313110
1311953665c0
1481d168020
154a4627180
hex2cbe029dc

12010400220 has 192 divisors, whose sum is σ = 41547534336. Its totient is φ = 2524400640.

The previous prime is 12010400209. The next prime is 12010400249. The reversal of 12010400220 is 2200401021.

12010400220 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 = 12010400196 and 12010400205.

It is a congruent number.

It is an unprimeable number.

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, 1475602 + ... + 1483718.

It is an arithmetic number, because the mean of its divisors is an integer number (216393408).

Almost surely, 212010400220 is an apocalyptic number.

12010400220 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 12010400220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20773767168).

12010400220 is an abundant number, since it is smaller than the sum of its proper divisors (29537134116).

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

12010400220 is a wasteful number, since it uses less digits than its factorization.

12010400220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420 (or 8418 counting only the distinct ones).

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

Adding to 12010400220 its reverse (2200401021), we get a palindrome (14210801241).

The spelling of 12010400220 in words is "twelve billion, ten million, four hundred thousand, two hundred twenty".