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12212112120200 = 235261060560601
BaseRepresentation
bin1011000110110101101010…
…0110101101100110001000
31121020110121002110020122022
42301231122212231212020
53100040401200321300
641550100012544012
72400203344205216
oct261553246554610
947213532406568
1012212112120200
113989144a171a3
121452957782008
136a779c16b995
143030d8545cb6
151629e98b1285
hexb1b5a9ad988

12212112120200 has 24 divisors (see below), whose sum is σ = 28393160679930. Its totient is φ = 4884844848000.

The previous prime is 12212112120193. The next prime is 12212112120217. The reversal of 12212112120200 is 202121121221.

12212112120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 6326160614596 + 5885951505604 = 2515186^2 + 2426098^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30530280101 + ... + 30530280500.

Almost surely, 212212112120200 is an apocalyptic number.

12212112120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212112120200 is an abundant number, since it is smaller than the sum of its proper divisors (16181048559730).

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

12212112120200 is a wasteful number, since it uses less digits than its factorization.

12212112120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61060560617 (or 61060560608 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12212112120200 its reverse (202121121221), we get a palindrome (12414233241421).

The spelling of 12212112120200 in words is "twelve trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 61060560601 122121121202 244242242404 305302803005 488484484808 610605606010 1221211212020 1526514015025 2442422424040 3053028030050 6106056060100 12212112120200