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2221001122122 = 232613821245173
BaseRepresentation
bin100000010100011101111…
…110111010000101001010
321212022210101110002002100
4200110131332322011022
5242342102241401442
64420151442014230
7316314323022246
oct40243576720512
97768711402070
102221001122122
11786a15260962
122ba540947376
1313159379c013
14796d5bb7426
153cb9002184c
hex2051dfba14a

2221001122122 has 48 divisors (see below), whose sum is σ = 4825909888488. Its totient is φ = 738222698880.

The previous prime is 2221001122111. The next prime is 2221001122129. The reversal of 2221001122122 is 2212211001222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 478973342241 + 1742027779881 = 692079^2 + 1319859^2 .

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 = 2221001122095 and 2221001122104.

It is not an unprimeable number, because it can be changed into a prime (2221001122129) 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, 8936328 + ... + 9181500.

Almost surely, 22221001122122 is an apocalyptic number.

2221001122122 is an abundant number, since it is smaller than the sum of its proper divisors (2604908766366).

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

2221001122122 is a wasteful number, since it uses less digits than its factorization.

2221001122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246615 (or 246612 counting only the distinct ones).

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

Adding to 2221001122122 its reverse (2212211001222), we get a palindrome (4433212123344).

The spelling of 2221001122122 in words is "two trillion, two hundred twenty-one billion, one million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 613 821 1226 1642 1839 2463 3678 4926 5517 7389 11034 14778 245173 490346 503273 735519 1006546 1471038 1509819 2206557 3019638 4413114 4529457 9058914 150291049 201287033 300582098 402574066 450873147 603861099 901746294 1207722198 1352619441 1811583297 2705238882 3623166594 123388951229 246777902458 370166853687 740333707374 1110500561061 2221001122122