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122201212111220 = 22511250496368641
BaseRepresentation
bin11011110010010000101111…
…110101101100100101110100
3121000200022200120201012102002
4123302100233311230211310
5112004121040300024340
61111522243431434432
734511513645336204
oct3362205765544564
9530608616635362
10122201212111220
1135a34274504300
12118574b6825a18
1353256a9155188
1422267da9a4404
15e1db021d6715
hex6f242fd6c974

122201212111220 has 36 divisors (see below), whose sum is σ = 282072715234212. Its totient is φ = 44436804403200.

The previous prime is 122201212111189. The next prime is 122201212111229. The reversal of 122201212111220 is 22111212102221.

It can be written as a sum of positive squares in 2 ways, for example, as 46766914985956 + 75434297125264 = 6838634^2 + 8685292^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122201212111192 and 122201212111201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201212111229) 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, 25248181901 + ... + 25248186740.

Almost surely, 2122201212111220 is an apocalyptic number.

122201212111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201212111220 is an abundant number, since it is smaller than the sum of its proper divisors (159871503122992).

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

122201212111220 is a wasteful number, since it uses less digits than its factorization.

122201212111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50496368672 (or 50496368659 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122201212111220 its reverse (22111212102221), we get a palindrome (144312424213441).

The spelling of 122201212111220 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred twelve million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 50496368641 100992737282 201985474564 252481843205 504963686410 555460055051 1009927372820 1110920110102 2221840220204 2777300275255 5554600550510 6110060605561 11109201101020 12220121211122 24440242422244 30550303027805 61100606055610 122201212111220