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122374445140 = 2256118722257
BaseRepresentation
bin111000111111000010…
…1011101100001010100
3102200212111002220220001
41301332011131201110
54001110324221030
6132115033021044
711561360422663
oct1617605354124
9380774086801
10122374445140
1147998202982
121b872b54784
13b7030c63ac
145ccc832dda
1532b367ecca
hex1c7e15d854

122374445140 has 12 divisors (see below), whose sum is σ = 256986334836. Its totient is φ = 48949778048.

The previous prime is 122374445077. The next prime is 122374445143. The reversal of 122374445140 is 41544473221.

It can be written as a sum of positive squares in 2 ways, for example, as 22792544784 + 99581900356 = 150972^2 + 315566^2 .

It is a super-3 number, since 3×1223744451403 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122374445140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122374445143) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3059361109 + ... + 3059361148.

It is an arithmetic number, because the mean of its divisors is an integer number (21415527903).

Almost surely, 2122374445140 is an apocalyptic number.

122374445140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122374445140 is an abundant number, since it is smaller than the sum of its proper divisors (134611889696).

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

122374445140 is a wasteful number, since it uses less digits than its factorization.

122374445140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6118722266 (or 6118722264 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The spelling of 122374445140 in words is "one hundred twenty-two billion, three hundred seventy-four million, four hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 6118722257 12237444514 24474889028 30593611285 61187222570 122374445140