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1122122111201 = 72138919792957
BaseRepresentation
bin10000010101000011101…
…100001001100011100001
310222021101121201110021122
4100111003230021203201
5121341101230024301
62215255031102025
7144033142366400
oct20250354114341
93867347643248
101122122111201
113a2986750623
12161584511915
1381a7b0130c0
143c44d553637
151e2c7ba081b
hex10543b098e1

1122122111201 has 24 divisors (see below), whose sum is σ = 1421530243560. Its totient is φ = 877857184512.

The previous prime is 1122122111197. The next prime is 1122122111249. The reversal of 1122122111201 is 1021112212211.

It can be written as a sum of positive squares in 4 ways, for example, as 45821683600 + 1076300427601 = 214060^2 + 1037449^2 .

It is not a de Polignac number, because 1122122111201 - 22 = 1122122111197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1122122111201.

It is not an unprimeable number, because it can be changed into a prime (1122122111261) 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, 9839786 + ... + 9953171.

It is an arithmetic number, because the mean of its divisors is an integer number (59230426815).

Almost surely, 21122122111201 is an apocalyptic number.

It is an amenable number.

1122122111201 is a deficient number, since it is larger than the sum of its proper divisors (299408132359).

1122122111201 is a wasteful number, since it uses less digits than its factorization.

1122122111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19793073 (or 19793066 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1122122111201 its reverse (1021112212211), we get a palindrome (2143234323412).

The spelling of 1122122111201 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred eleven thousand, two hundred one".

Divisors: 1 7 13 49 89 91 623 637 1157 4361 8099 56693 19792957 138550699 257308441 969854893 1761573173 1801159087 12331012211 12608113609 22900451249 86317085477 160303158743 1122122111201