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2222010122112 = 2732112341185947
BaseRepresentation
bin100000010101011010000…
…111111011111110000000
321212102101201001120212100
4200111122013323332000
5242401134042401422
64420435524230400
7316351324256214
oct40253207737600
97772351046770
102222010122112
11787392871550
122ba78283b400
131316c483a831
147978dbc8944
153cbed8ce7ac
hex2055a1fbf80

2222010122112 has 384 divisors, whose sum is σ = 7456187531520. Its totient is φ = 628348723200.

The previous prime is 2222010122093. The next prime is 2222010122117. The reversal of 2222010122112 is 2112210102222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222010122117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11856723 + ... + 12042669.

It is an arithmetic number, because the mean of its divisors is an integer number (19417155030).

Almost surely, 22222010122112 is an apocalyptic number.

2222010122112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222010122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728093765760).

2222010122112 is an abundant number, since it is smaller than the sum of its proper divisors (5234177409408).

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

2222010122112 is a wasteful number, since it uses less digits than its factorization.

2222010122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186042 (or 186027 counting only the distinct ones).

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

Adding to 2222010122112 its reverse (2112210102222), we get a palindrome (4334220224334).

The spelling of 2222010122112 in words is "two trillion, two hundred twenty-two billion, ten million, one hundred twenty-two thousand, one hundred twelve".