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122420131200132 = 223471012149078913
BaseRepresentation
bin11011110101011100101000…
…011011101111110010000100
3121001110020202102121011220020
4123311130220123233302010
5112021212412041401012
61112211010515335140
734533363655026633
oct3365345033576204
9531406672534806
10122420131200132
11360090a4637a77
1211891a122b14b0
135340226c22acc
14223324759b51a
15e24666561a8c
hex6f57286efc84

122420131200132 has 48 divisors (see below), whose sum is σ = 294612930162432. Its totient is φ = 39543051980800.

The previous prime is 122420131200127. The next prime is 122420131200149. The reversal of 122420131200132 is 231002131024221.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1074482493 + ... + 1074596420.

It is an arithmetic number, because the mean of its divisors is an integer number (6137769378384).

Almost surely, 2122420131200132 is an apocalyptic number.

122420131200132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122420131200132 is an abundant number, since it is smaller than the sum of its proper divisors (172192798962300).

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

122420131200132 is a wasteful number, since it uses less digits than its factorization.

122420131200132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149079068 (or 2149079066 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 122420131200132 its reverse (231002131024221), we get a palindrome (353422262224353).

The spelling of 122420131200132 in words is "one hundred twenty-two trillion, four hundred twenty billion, one hundred thirty-one million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 47 94 101 141 188 202 282 303 404 564 606 1212 4747 9494 14241 18988 28482 56964 2149078913 4298157826 6447236739 8596315652 12894473478 25788946956 101006708911 202013417822 217056970213 303020126733 404026835644 434113940426 606040253466 651170910639 868227880852 1212080506932 1302341821278 2604683642556 10201677600011 20403355200022 30605032800033 40806710400044 61210065600066 122420131200132