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12133122102 = 2328315153783
BaseRepresentation
bin10110100110011000…
…01100000000110110
31011022120121110112200
423103030030000312
5144322034401402
65323542525330
7606445556553
oct132314140066
934276543480
1012133122102
115166916242
122427436846
1311b49043ba
14831591a2a
154b02b921c
hex2d330c036

12133122102 has 48 divisors (see below), whose sum is σ = 26781850368. Its totient is φ = 3969111600.

The previous prime is 12133122091. The next prime is 12133122119. The reversal of 12133122102 is 20122133121.

12133122102 is a `hidden beast` number, since 121 + 331 + 2 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198703 + ... + 252485.

It is an arithmetic number, because the mean of its divisors is an integer number (557955216).

Almost surely, 212133122102 is an apocalyptic number.

12133122102 is an abundant number, since it is smaller than the sum of its proper divisors (14648728266).

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

12133122102 is a wasteful number, since it uses less digits than its factorization.

12133122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54025 (or 54022 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12133122102 its reverse (20122133121), we get a palindrome (32255255223).

The spelling of 12133122102 in words is "twelve billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 83 151 166 249 302 453 498 747 906 1359 1494 2718 12533 25066 37599 53783 75198 107566 112797 161349 225594 322698 484047 968094 4463989 8121233 8927978 13391967 16242466 24363699 26783934 40175901 48727398 73091097 80351802 146182194 674062339 1348124678 2022187017 4044374034 6066561051 12133122102