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122111002020200 = 23524647713136713
BaseRepresentation
bin11011110000111100101110…
…111001100000100101101000
3121000100200211200111202120212
4123300330232321200211220
5112001131313004121300
61111413004144240252
734502141315246324
oct3360745671404550
9530320750452525
10122111002020200
11359a9a92238776
1211841b1b610088
13531a0309547ab
1422222bdc18984
15e1b5c26aa935
hex6f0f2ee60968

122111002020200 has 48 divisors (see below), whose sum is σ = 283914209880780. Its totient is φ = 48843346152960.

The previous prime is 122111002020193. The next prime is 122111002020209. The reversal of 122111002020200 is 2020200111221.

It can be written as a sum of positive squares in 6 ways, for example, as 65189379112036 + 56921622908164 = 8073994^2 + 7544642^2 .

It is a super-2 number, since 2×1221110020202002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122111002020209) 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, 2727044 + ... + 15863756.

Almost surely, 2122111002020200 is an apocalyptic number.

122111002020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111002020200 is an abundant number, since it is smaller than the sum of its proper divisors (161803207860580).

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

122111002020200 is a wasteful number, since it uses less digits than its factorization.

122111002020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13183206 (or 13183197 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122111002020200 its reverse (2020200111221), we get a palindrome (124131202131421).

The spelling of 122111002020200 in words is "one hundred twenty-two trillion, one hundred eleven billion, two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 46477 92954 185908 232385 371816 464770 929540 1161925 1859080 2323850 4647700 9295400 13136713 26273426 52546852 65683565 105093704 131367130 262734260 328417825 525468520 656835650 1313671300 2627342600 610555010101 1221110020202 2442220040404 3052775050505 4884440080808 6105550101010 12211100202020 15263875252525 24422200404040 30527750505050 61055501010100 122111002020200