Search a number
-
+
2222122101120 = 27335508125309
BaseRepresentation
bin100000010101100000110…
…011000110100110000000
321212102200111202201012000
4200111200303012212000
5242401401224213440
64420455004304000
7316354154132505
oct40254063064600
97772614681160
102222122101120
1178743aaa4a89
122ba7b4242000
13131711ab68bc
14797a0a174ac
153cc0864d730
hex20560cc6980

2222122101120 has 256 divisors, whose sum is σ = 7871875704000. Its totient is φ = 592425861120.

The previous prime is 2222122101097. The next prime is 2222122101139. The reversal of 2222122101120 is 211012212222.

It is a happy number.

2222122101120 is a `hidden beast` number, since 222 + 212 + 210 + 1 + 1 + 20 = 666.

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 = 2222122101093 and 2222122101102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87787026 + ... + 87812334.

Almost surely, 22222122101120 is an apocalyptic number.

2222122101120 is a gapful number since it is divisible by the number (20) 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 2222122101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935937852000).

2222122101120 is an abundant number, since it is smaller than the sum of its proper divisors (5649753602880).

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

2222122101120 is a wasteful number, since it uses less digits than its factorization.

2222122101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30418 (or 30400 counting only the distinct ones).

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

Adding to 2222122101120 its reverse (211012212222), we get a palindrome (2433134313342).

The spelling of 2222122101120 in words is "two trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty".