Search a number
-
+
122110221111201 = 3227953485379113
BaseRepresentation
bin11011110000111100000000…
…010110100100111110100001
3121000100121211021002110211100
4123300330000112210332201
5112001123213101024301
61111412354450505013
734502113053524601
oct3360740026447641
9530317737073740
10122110221111201
11359a9721457234
1211841941b95169
135319c37c2736b
14222224821cc01
15e1b578d55286
hex6f0f005a4fa1

122110221111201 has 12 divisors (see below), whose sum is σ = 176387740785828. Its totient is φ = 81403901631744.

The previous prime is 122110221111157. The next prime is 122110221111211. The reversal of 122110221111201 is 102111122011221.

It is a happy number.

122110221111201 is a `hidden beast` number, since 1 + 22 + 110 + 221 + 111 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98987058202176 + 23123162909025 = 9949224^2 + 4808655^2 .

It is not a de Polignac number, because 122110221111201 - 217 = 122110220980129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122110221111211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242437980 + ... + 242941133.

It is an arithmetic number, because the mean of its divisors is an integer number (14698978398819).

Almost surely, 2122110221111201 is an apocalyptic number.

It is an amenable number.

122110221111201 is a deficient number, since it is larger than the sum of its proper divisors (54277519674627).

122110221111201 is a wasteful number, since it uses less digits than its factorization.

122110221111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485407072 (or 485407069 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122110221111201 its reverse (102111122011221), we get a palindrome (224221343122422).

The spelling of 122110221111201 in words is "one hundred twenty-two trillion, one hundred ten billion, two hundred twenty-one million, one hundred eleven thousand, two hundred one".

Divisors: 1 3 9 27953 83859 251577 485379113 1456137339 4368412017 13567802345689 40703407037067 122110221111201