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122112020112210 = 23251356800223469
BaseRepresentation
bin11011110000111101101011…
…100101001110001101010010
3121000100210110122020012021100
4123300331223211032031102
5112001140404122042320
61111413253153405230
734502205460011522
oct3360755345161522
9530323418205240
10122112020112210
11359aa464999327
1211842164569816
13531a1638577bb
142222379115682
15e1b631c62790
hex6f0f6b94e352

122112020112210 has 24 divisors (see below), whose sum is σ = 317491252291980. Its totient is φ = 32563205363232.

The previous prime is 122112020112143. The next prime is 122112020112211. The reversal of 122112020112210 is 12211020211221.

122112020112210 is a `hidden beast` number, since 1 + 221 + 1 + 20 + 201 + 1 + 221 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110970570542049 + 11141449570161 = 10534257^2 + 3337881^2 .

It is a super-2 number, since 2×1221120201122102 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122112020112211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 678400111645 + ... + 678400111824.

Almost surely, 2122112020112210 is an apocalyptic number.

122112020112210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122112020112210 is an abundant number, since it is smaller than the sum of its proper divisors (195379232179770).

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

122112020112210 is a wasteful number, since it uses less digits than its factorization.

122112020112210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356800223482 (or 1356800223479 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122112020112210 its reverse (12211020211221), we get a palindrome (134323040323431).

The spelling of 122112020112210 in words is "one hundred twenty-two trillion, one hundred twelve billion, twenty million, one hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1356800223469 2713600446938 4070400670407 6784001117345 8140801340814 12211202011221 13568002234690 20352003352035 24422404022442 40704006704070 61056010056105 122112020112210