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122340101214132 = 223223511445485387
BaseRepresentation
bin11011110100010010000110…
…010001100100111110110100
3121001011121012000001122211200
4123310102012101210332310
5112013410011402323012
61112110133331132500
734524531520255404
oct3364220621447664
9531147160048750
10122340101214132
1135a8816680aa7a
121187a3b8444130
13533581181c4c9
14222d414858804
15e2253061d3dc
hex6f4486464fb4

122340101214132 has 36 divisors (see below), whose sum is σ = 309380128564416. Its totient is φ = 40762687885200.

The previous prime is 122340101214083. The next prime is 122340101214137. The reversal of 122340101214132 is 231412101043221.

122340101214132 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 401 + 0 + 121 + 4 + 132 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 122340101214096 and 122340101214105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122340101214137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 722658058 + ... + 722827329.

Almost surely, 2122340101214132 is an apocalyptic number.

122340101214132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122340101214132 is an abundant number, since it is smaller than the sum of its proper divisors (187040027350284).

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

122340101214132 is a wasteful number, since it uses less digits than its factorization.

122340101214132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445487748 (or 1445487743 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 122340101214132 its reverse (231412101043221), we get a palindrome (353752202257353).

The spelling of 122340101214132 in words is "one hundred twenty-two trillion, three hundred forty billion, one hundred one million, two hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2351 4702 7053 9404 14106 21159 28212 42318 84636 1445485387 2890970774 4336456161 5781941548 8672912322 13009368483 17345824644 26018736966 52037473932 3398336144837 6796672289674 10195008434511 13593344579348 20390016869022 30585025303533 40780033738044 61170050607066 122340101214132