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122667502340 = 2256133375117
BaseRepresentation
bin111001000111110001…
…1011000101100000100
3102201121220112202210102
41302033203120230010
54002210340033330
6132204102143232
711601546365105
oct1621743305404
9381556482712
10122667502340
1148028675109
121b935121b18
13b74ba33016
145d1971a3ac
1532ce26b945
hex1c8f8d8b04

122667502340 has 12 divisors (see below), whose sum is σ = 257601754956. Its totient is φ = 49067000928.

The previous prime is 122667502339. The next prime is 122667502343. The reversal of 122667502340 is 43205766221.

It can be written as a sum of positive squares in 2 ways, for example, as 49953144004 + 72714358336 = 223502^2 + 269656^2 .

It is a super-2 number, since 2×1226675023402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122667502294 and 122667502303.

It is not an unprimeable number, because it can be changed into a prime (122667502343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3066687539 + ... + 3066687578.

It is an arithmetic number, because the mean of its divisors is an integer number (21466812913).

Almost surely, 2122667502340 is an apocalyptic number.

122667502340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122667502340 is an abundant number, since it is smaller than the sum of its proper divisors (134934252616).

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

122667502340 is a wasteful number, since it uses less digits than its factorization.

122667502340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6133375126 (or 6133375124 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 122667502340 in words is "one hundred twenty-two billion, six hundred sixty-seven million, five hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 6133375117 12266750234 24533500468 30666875585 61333751170 122667502340