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2122021021122 = 2325322129100517
BaseRepresentation
bin11110111000010010010…
…011110010010111000010
321111212022021220222020200
4132320102103302113002
5234231344340133442
64302502030550030
7306211442033232
oct36702223622702
97455267828220
102122021021122
11748a425aaaa2
122a3318668316
1312514b375c12
14749c63a3cc2
153a2ea5e934c
hex1ee124f25c2

2122021021122 has 48 divisors (see below), whose sum is σ = 4684719794040. Its totient is φ = 693956030976.

The previous prime is 2122021021079. The next prime is 2122021021123. The reversal of 2122021021122 is 2211201202212.

It is a happy number.

2122021021122 is a `hidden beast` number, since 2 + 1 + 220 + 210 + 211 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1935301104801 + 186719916321 = 1391151^2 + 432111^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2122021021095 and 2122021021104.

It is not an unprimeable number, because it can be changed into a prime (2122021021123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21060808 + ... + 21161324.

Almost surely, 22122021021122 is an apocalyptic number.

2122021021122 is an abundant number, since it is smaller than the sum of its proper divisors (2562698772918).

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

2122021021122 is a wasteful number, since it uses less digits than its factorization.

2122021021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122707 (or 122704 counting only the distinct ones).

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

Adding to 2122021021122 its reverse (2211201202212), we get a palindrome (4333222223334).

The spelling of 2122021021122 in words is "two trillion, one hundred twenty-two billion, twenty-one million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 22129 44258 66387 100517 132774 199161 201034 301551 398322 603102 904653 1172837 1809306 2345674 3518511 5327401 7037022 10555533 10654802 15982203 21111066 31964406 47946609 95893218 2224340693 4448681386 6673022079 13346044158 20019066237 40038132474 117890056729 235780113458 353670170187 707340340374 1061010510561 2122021021122