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10222200122112 = 28321117372392683
BaseRepresentation
bin1001010011000000101010…
…0110110110101100000000
31100012020021200221222201200
42110300022212312230000
52314440031212401422
633424003000501200
72103346435253346
oct224601246665400
940166250858650
1010222200122112
113291235527580
12119116a17a800
13591c458c7414
14274a857a5996
1512ad823762ac
hex94c0a9b6b00

10222200122112 has 864 divisors, whose sum is σ = 35123303255040. Its totient is φ = 2823705722880.

The previous prime is 10222200122111. The next prime is 10222200122137. The reversal of 10222200122112 is 21122100222201.

It is a happy number.

10222200122112 is a `hidden beast` number, since 10 + 222 + 200 + 1 + 221 + 12 = 666.

It is a super-2 number, since 2×102222001221122 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10222200122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3809987523 + ... + 3809990205.

It is an arithmetic number, because the mean of its divisors is an integer number (40651971360).

Almost surely, 210222200122112 is an apocalyptic number.

10222200122112 is a gapful number since it is divisible by the number (12) 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 10222200122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17561651627520).

10222200122112 is an abundant number, since it is smaller than the sum of its proper divisors (24901103132928).

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

10222200122112 is a wasteful number, since it uses less digits than its factorization.

10222200122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2992 counting only the distinct ones).

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

Adding to 10222200122112 its reverse (21122100222201), we get a palindrome (31344300344313).

The spelling of 10222200122112 in words is "ten trillion, two hundred twenty-two billion, two hundred million, one hundred twenty-two thousand, one hundred twelve".