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1222122201001 = 134114091627333
BaseRepresentation
bin10001110010001100001…
…010001101111110101001
311022211111210112100201021
4101302030022031332221
5130010401240413001
62333234000052441
7154203220210612
oct21621412157651
94284453470637
101222122201001
11431332138139
12178a32304121
138b326854680
14432185d8c09
1521bcbe06ba1
hex11c8c28dfa9

1222122201001 has 16 divisors (see below), whose sum is σ = 1349190072720. Its totient is φ = 1099816058880.

The previous prime is 1222122200993. The next prime is 1222122201023. The reversal of 1222122201001 is 1001022212221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 769699155625 + 452423045376 = 877325^2 + 672624^2 .

It is a cyclic number.

It is not a de Polignac number, because 1222122201001 - 23 = 1222122200993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1222122201901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62670 + ... + 1564663.

It is an arithmetic number, because the mean of its divisors is an integer number (84324379545).

Almost surely, 21222122201001 is an apocalyptic number.

It is an amenable number.

1222122201001 is a deficient number, since it is larger than the sum of its proper divisors (127067871719).

1222122201001 is a wasteful number, since it uses less digits than its factorization.

1222122201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628796.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1222122201001 its reverse (1001022212221), we get a palindrome (2223144413222).

The spelling of 1222122201001 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred one thousand, one".

Divisors: 1 13 41 533 1409 18317 57769 750997 1627333 21155329 66720653 867368489 2292912197 29807858561 94009400077 1222122201001