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122122312002 = 2321012665089
BaseRepresentation
bin111000110111100001…
…1101001100101000010
3102200012220200020020200
41301233003221211002
54000101302441002
6132034024550030
711552206344645
oct1615703514502
9380186606220
10122122312002
1147878952589
121b802622316
13b692ab7aa2
145ca715da5c
15329b478b1c
hex1c6f0e9942

122122312002 has 36 divisors (see below), whose sum is σ = 267244468530. Its totient is φ = 40304332800.

The previous prime is 122122311967. The next prime is 122122312069. The reversal of 122122312002 is 200213221221.

It can be written as a sum of positive squares in 3 ways, for example, as 120972491721 + 1149820281 = 347811^2 + 33909^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 148927 + ... + 516162.

Almost surely, 2122122312002 is an apocalyptic number.

122122312002 is an abundant number, since it is smaller than the sum of its proper divisors (145122156528).

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

122122312002 is a wasteful number, since it uses less digits than its factorization.

122122312002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665299 (or 665195 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122122312002 its reverse (200213221221), we get a palindrome (322335533223).

The spelling of 122122312002 in words is "one hundred twenty-two billion, one hundred twenty-two million, three hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 10201 20402 30603 61206 91809 183618 665089 1330178 1995267 3990534 5985801 11971602 67173989 134347978 201521967 403043934 604565901 1209131802 6784572889 13569145778 20353718667 40707437334 61061156001 122122312002