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12402112122 = 233479750377
BaseRepresentation
bin10111000110011100…
…10011011001111010
31012000022202120111000
423203032103121322
5200344420041442
65410352145430
7616223133201
oct134316233172
935008676430
1012402112122
11529473a444
1224a1538276
1312285655aa
148591b2238
154c8beed4c
hex2e339367a

12402112122 has 64 divisors (see below), whose sum is σ = 28437373440. Its totient is φ = 4004287488.

The previous prime is 12402112109. The next prime is 12402112139. The reversal of 12402112122 is 22121120421.

12402112122 is a `hidden beast` number, since 1 + 240 + 211 + 212 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12402112095 and 12402112104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220998 + ... + 271374.

It is an arithmetic number, because the mean of its divisors is an integer number (444333960).

Almost surely, 212402112122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12402112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14218686720).

12402112122 is an abundant number, since it is smaller than the sum of its proper divisors (16035261318).

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

12402112122 is a wasteful number, since it uses less digits than its factorization.

12402112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50532 (or 50526 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12402112122 its reverse (22121120421), we get a palindrome (34523232543).

The spelling of 12402112122 in words is "twelve billion, four hundred two million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 97 141 194 282 291 423 582 846 873 1269 1746 2538 2619 4559 5238 9118 13677 27354 41031 50377 82062 100754 123093 151131 246186 302262 453393 906786 1360179 2367719 2720358 4735438 4886569 7103157 9773138 14206314 14659707 21309471 29319414 42618942 43979121 63928413 87958242 127856826 131937363 229668743 263874726 459337486 689006229 1378012458 2067018687 4134037374 6201056061 12402112122