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12131222120031 = 372961326555819
BaseRepresentation
bin1011000010001000010100…
…1011110110011001011111
31120221201210201122110221010
42300202011023312121133
53042224220330320111
641445001223310303
72361310664434020
oct260420513663137
946851721573833
1012131222120031
113957905698893
12143b1418ab393
1369cc7a831c61
142dd2234d4c47
151608631ddaa6
hexb08852f665f

12131222120031 has 32 divisors (see below), whose sum is σ = 19436602406400. Its totient is φ = 6583365290880.

The previous prime is 12131222119997. The next prime is 12131222120071. The reversal of 12131222120031 is 13002122213121.

12131222120031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12131222120031 - 27 = 12131222119903 is a prime.

It is a super-2 number, since 2×121312221200312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131222120071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163240761 + ... + 163315058.

It is an arithmetic number, because the mean of its divisors is an integer number (607393825200).

Almost surely, 212131222120031 is an apocalyptic number.

12131222120031 is a deficient number, since it is larger than the sum of its proper divisors (7305380286369).

12131222120031 is a wasteful number, since it uses less digits than its factorization.

12131222120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326555919.

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

Adding to 12131222120031 its reverse (13002122213121), we get a palindrome (25133344333152).

The spelling of 12131222120031 in words is "twelve trillion, one hundred thirty-one billion, two hundred twenty-two million, one hundred twenty thousand, thirty-one".

Divisors: 1 3 7 21 29 61 87 183 203 427 609 1281 1769 5307 12383 37149 326555819 979667457 2285890733 6857672199 9470118751 19919904959 28410356253 59759714877 66290831257 139439334713 198872493771 418318004139 577677243811 1733031731433 4043740706677 12131222120031