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12200202212112 = 243284723626473
BaseRepresentation
bin1011000110001001010010…
…1110000001001100010000
31121012022212001212020011100
42301202110232001030100
53044342003231241422
641540410122144400
72366302245516135
oct261422456011420
947168761766140
1012200202212112
1139840930a9a52
121450593052100
136a662188bba5
143026c889a58c
1516254ded97ac
hexb1894b81310

12200202212112 has 30 divisors (see below), whose sum is σ = 34143621469022. Its totient is φ = 4066734070656.

The previous prime is 12200202212071. The next prime is 12200202212117. The reversal of 12200202212112 is 21121220200221.

It is a happy number.

12200202212112 is a `hidden beast` number, since 12 + 200 + 20 + 221 + 211 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7010717746176 + 5189484465936 = 2647776^2 + 2278044^2 .

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 (12200202212117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42361813093 + ... + 42361813380.

Almost surely, 212200202212112 is an apocalyptic number.

12200202212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12200202212112 is an abundant number, since it is smaller than the sum of its proper divisors (21943419256910).

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

12200202212112 is a wasteful number, since it uses less digits than its factorization.

12200202212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84723626487 (or 84723626478 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12200202212112 its reverse (21121220200221), we get a palindrome (33321422412333).

The spelling of 12200202212112 in words is "twelve trillion, two hundred billion, two hundred two million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 84723626473 169447252946 254170879419 338894505892 508341758838 677789011784 762512638257 1016683517676 1355578023568 1525025276514 2033367035352 3050050553028 4066734070704 6100101106056 12200202212112