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12220130121132 = 22317139430953947
BaseRepresentation
bin1011000111010011100010…
…0000111101010110101100
31121021020021212201220011210
42301310320200331112230
53100203311302334012
641553503354314420
72400606134120223
oct261647040752654
947236255656153
1012220130121132
113991589969a4a
121454414a28a10
136a847934532b
14303659377cba
15162d1876523c
hexb1d3883d5ac

12220130121132 has 48 divisors (see below), whose sum is σ = 30408110570880. Its totient is φ = 3806185251072.

The previous prime is 12220130121131. The next prime is 12220130121137. The reversal of 12220130121132 is 23112103102221.

12220130121132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122201301211322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12220130121099 and 12220130121108.

It is not an unprimeable number, because it can be changed into a prime (12220130121131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215448618 + ... + 215505329.

It is an arithmetic number, because the mean of its divisors is an integer number (633502303560).

Almost surely, 212220130121132 is an apocalyptic number.

12220130121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12220130121132 is an abundant number, since it is smaller than the sum of its proper divisors (18187980449748).

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

12220130121132 is a wasteful number, since it uses less digits than its factorization.

12220130121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430954110 (or 430954108 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12220130121132 its reverse (23112103102221), we get a palindrome (35332233223353).

The spelling of 12220130121132 in words is "twelve trillion, two hundred twenty billion, one hundred thirty million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 139 204 278 417 556 834 1668 2363 4726 7089 9452 14178 28356 430953947 861907894 1292861841 1723815788 2585723682 5171447364 7326217099 14652434198 21978651297 29304868396 43957302594 59902598633 87914605188 119805197266 179707795899 239610394532 359415591798 718831183596 1018344176761 2036688353522 3055032530283 4073376707044 6110065060566 12220130121132