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12220210220112 = 2432109778555697
BaseRepresentation
bin1011000111010011110101…
…0010100000110001010000
31121021020111110110100022200
42301310331102200301100
53100203442304020422
641553515335203200
72400611126005026
oct261647522406120
947236443410280
1012220210220112
1139916200a8554
121454437816500
136a848cb0b78b
14303665c68716
15162d207d82ac
hexb1d3d4a0c50

12220210220112 has 60 divisors (see below), whose sum is σ = 34513374092340. Its totient is φ = 4036032728064.

The previous prime is 12220210220081. The next prime is 12220210220149. The reversal of 12220210220112 is 21102201202221.

It is a happy number.

12220210220112 is a `hidden beast` number, since 1 + 2 + 220 + 210 + 220 + 1 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7274585756736 + 4945624463376 = 2697144^2 + 2223876^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389262153 + ... + 389293544.

It is an arithmetic number, because the mean of its divisors is an integer number (575222901539).

Almost surely, 212220210220112 is an apocalyptic number.

12220210220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12220210220112 is an abundant number, since it is smaller than the sum of its proper divisors (22293163872228).

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

12220210220112 is a wasteful number, since it uses less digits than its factorization.

12220210220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778555820 (or 778555811 counting only the distinct ones).

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

Adding to 12220210220112 its reverse (21102201202221), we get a palindrome (33322411422333).

The spelling of 12220210220112 in words is "twelve trillion, two hundred twenty billion, two hundred ten million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 654 872 981 1308 1744 1962 2616 3924 5232 7848 15696 778555697 1557111394 2335667091 3114222788 4671334182 6228445576 7007001273 9342668364 12456891152 14014002546 18685336728 28028005092 37370673456 56056010184 84862570973 112112020368 169725141946 254587712919 339450283892 509175425838 678900567784 763763138757 1018350851676 1357801135568 1527526277514 2036701703352 3055052555028 4073403406704 6110105110056 12220210220112