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2122111224040 = 235352811503721
BaseRepresentation
bin11110111000010111101…
…011111000100011101000
321111212112120122202101111
4132320113223320203220
5234232040433132130
64302515012200104
7306213615532423
oct36702753704350
97455476582344
102122111224040
11748a8950a865
122a3342909034
13125163c69322
14749d43649ba
153a3034b602a
hex1ee17af88e8

2122111224040 has 32 divisors (see below), whose sum is σ = 4774888764360. Its totient is φ = 848819865600.

The previous prime is 2122111224007. The next prime is 2122111224041. The reversal of 2122111224040 is 404221112212.

It can be written as a sum of positive squares in 4 ways, for example, as 1657671700036 + 464439524004 = 1287506^2 + 681498^2 .

It is not an unprimeable number, because it can be changed into a prime (2122111224041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 659380 + ... + 2163100.

Almost surely, 22122111224040 is an apocalyptic number.

2122111224040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122111224040 is an abundant number, since it is smaller than the sum of its proper divisors (2652777540320).

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

2122111224040 is a wasteful number, since it uses less digits than its factorization.

2122111224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539013 (or 1539009 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 2122111224040 its reverse (404221112212), we get a palindrome (2526332336252).

The spelling of 2122111224040 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, two hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 35281 70562 141124 176405 282248 352810 705620 1411240 1503721 3007442 6014884 7518605 12029768 15037210 30074420 60148840 53052780601 106105561202 212211122404 265263903005 424422244808 530527806010 1061055612020 2122111224040