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1222010212100 = 225241957291253
BaseRepresentation
bin10001110010000101011…
…111000000111100000100
311022211012222210201211012
4101302011133000330010
5130010134103241400
62333214515501352
7154200360263426
oct21620537007404
94284188721735
101222010212100
114312849a8227
12178a008b7858
138b3095a3c52
14432077a6816
1521bc2184d35
hex11c857c0f04

1222010212100 has 36 divisors (see below), whose sum is σ = 2651834467044. Its totient is φ = 488790756480.

The previous prime is 1222010212097. The next prime is 1222010212139. The reversal of 1222010212100 is 12120102221.

It can be written as a sum of positive squares in 6 ways, for example, as 361912576 + 1221648299524 = 19024^2 + 1105282^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4050074 + ... + 4341326.

It is an arithmetic number, because the mean of its divisors is an integer number (73662068529).

Almost surely, 21222010212100 is an apocalyptic number.

1222010212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222010212100 is an abundant number, since it is smaller than the sum of its proper divisors (1429824254944).

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

1222010212100 is a wasteful number, since it uses less digits than its factorization.

1222010212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333224 (or 333217 counting only the distinct ones).

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

Adding to 1222010212100 its reverse (12120102221), we get a palindrome (1234130314321).

The spelling of 1222010212100 in words is "one trillion, two hundred twenty-two billion, ten million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 41957 83914 167828 209785 291253 419570 582506 839140 1048925 1165012 1456265 2097850 2912530 4195700 5825060 7281325 14562650 29125300 12220102121 24440204242 48880408484 61100510605 122201021210 244402042420 305502553025 611005106050 1222010212100