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12002122133131 = 133124519212593
BaseRepresentation
bin1010111010100111011000…
…1110011110111010001011
31120111101120112020122011211
42232221312032132322023
53033120321231230011
641305410534433551
72346060526601404
oct256516616367213
946441515218154
1012002122133131
11390808705a939
12141a1125028b7
13690a45259a70
142d6c9778a9ab
1515c3093aab21
hexaea7639ee8b

12002122133131 has 24 divisors (see below), whose sum is σ = 13358777681760. Its totient is φ = 10719075720960.

The previous prime is 12002122133033. The next prime is 12002122133201. The reversal of 12002122133131 is 13133122120021.

It is not a de Polignac number, because 12002122133131 - 219 = 12002121608843 is a prime.

It is a super-2 number, since 2×120021221331312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002122133531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56349571 + ... + 56562163.

It is an arithmetic number, because the mean of its divisors is an integer number (556615736740).

Almost surely, 212002122133131 is an apocalyptic number.

12002122133131 is a deficient number, since it is larger than the sum of its proper divisors (1356655548629).

12002122133131 is a wasteful number, since it uses less digits than its factorization.

12002122133131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217187 (or 217156 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12002122133131 its reverse (13133122120021), we get a palindrome (25135244253152).

The spelling of 12002122133131 in words is "twelve trillion, two billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 13 31 403 961 4519 12493 58747 140089 212593 1821157 2763709 4342759 6590383 56455867 85674979 204301873 960707767 2655924349 12489200971 29781940777 387165230101 923240164087 12002122133131