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12131031220 = 225711231013391
BaseRepresentation
bin10110100110001000…
…01101100010110100
31011022102200020101121
423103010031202310
5144321020444340
65323430033324
7606422030650
oct132304154264
934272606347
1012131031220
115165718340
1224267a8844
1311b43517a9
148311a9a60
154b000494a
hex2d310d8b4

12131031220 has 192 divisors, whose sum is σ = 33480179712. Its totient is φ = 3579840000.

The previous prime is 12131031191. The next prime is 12131031247. The reversal of 12131031220 is 2213013121.

It is a super-3 number, since 3×121310312203 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12131031194 and 12131031203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3575725 + ... + 3579115.

It is an arithmetic number, because the mean of its divisors is an integer number (174375936).

Almost surely, 212131031220 is an apocalyptic number.

12131031220 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 12131031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740089856).

12131031220 is an abundant number, since it is smaller than the sum of its proper divisors (21349148492).

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

12131031220 is a wasteful number, since it uses less digits than its factorization.

12131031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12131031220 its reverse (2213013121), we get a palindrome (14344044341).

The spelling of 12131031220 in words is "twelve billion, one hundred thirty-one million, thirty-one thousand, two hundred twenty".