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122102202210020 = 2256105110110501
BaseRepresentation
bin11011110000110100100010…
…011000111001011011100100
3121000022212010102010002101022
4123300310202120321123210
5112001010302231210040
61111404551033550312
734501410253143134
oct3360644230713344
9530285112102338
10122102202210020
11359a6286a4a07a
1211840284575398
13531925a7c7016
142221ac7234ac4
15e1b259d746b5
hex6f0d226396e4

122102202210020 has 12 divisors (see below), whose sum is σ = 256414624641084. Its totient is φ = 48840880884000.

The previous prime is 122102202210019. The next prime is 122102202210041. The reversal of 122102202210020 is 20012202201221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 61919020650496 + 60183181559524 = 7868864^2 + 7757782^2 .

It is a super-2 number, since 2×1221022022100202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3052555055231 + ... + 3052555055270.

It is an arithmetic number, because the mean of its divisors is an integer number (21367885386757).

Almost surely, 2122102202210020 is an apocalyptic number.

122102202210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102202210020 is an abundant number, since it is smaller than the sum of its proper divisors (134312422431064).

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

122102202210020 is a wasteful number, since it uses less digits than its factorization.

122102202210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105110110510 (or 6105110110508 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122102202210020 its reverse (20012202201221), we get a palindrome (142114404411241).

The spelling of 122102202210020 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 6105110110501 12210220221002 24420440442004 30525550552505 61051101105010 122102202210020