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1221222010112 = 2813642157149
BaseRepresentation
bin10001110001010110100…
…000010000110100000000
311022202012001122220221222
4101301112200100310000
5130002030313310422
62333004401534212
7154142006545436
oct21612640206400
94282161586858
101221222010112
11430a0aa95425
12178820944368
138b2121c2140
1443170c2cd56
1521b77d8d842
hex11c56810d00

1221222010112 has 72 divisors (see below), whose sum is σ = 2625641764200. Its totient is φ = 563543285760.

The previous prime is 1221222010097. The next prime is 1221222010147. The reversal of 1221222010112 is 2110102221221.

It can be written as a sum of positive squares in 4 ways, for example, as 63996856576 + 1157225153536 = 252976^2 + 1075744^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21340514 + ... + 21397662.

It is an arithmetic number, because the mean of its divisors is an integer number (36467246725).

Almost surely, 21221222010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221222010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312820882100).

1221222010112 is an abundant number, since it is smaller than the sum of its proper divisors (1404419754088).

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

1221222010112 is an equidigital number, since it uses as much as digits as its factorization.

1221222010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63599 (or 63585 counting only the distinct ones).

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

Adding to 1221222010112 its reverse (2110102221221), we get a palindrome (3331324231333).

The spelling of 1221222010112 in words is "one trillion, two hundred twenty-one billion, two hundred twenty-two million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 6421 12842 25684 51368 57149 83473 102736 114298 166946 205472 228596 333892 410944 457192 667784 742937 821888 914384 1335568 1485874 1643776 1828768 2671136 2971748 3657536 5342272 5943496 7315072 10684544 11886992 14630144 21369088 23773984 47547968 95095936 190191872 366953729 733907458 1467814916 2935629832 4770398477 5871259664 9540796954 11742519328 19081593908 23485038656 38163187816 46970077312 76326375632 93940154624 152652751264 305305502528 610611005056 1221222010112