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1120202222112 = 2532311976131039
BaseRepresentation
bin10000010011010001010…
…000010110101000100000
310222002102211002222120100
4100103101100112220200
5121323133232101422
62214340325142400
7143634440532201
oct20232120265040
93862384088510
101120202222112
113a2090a50526
1216112955aa00
138183333775c
143c30a58d5a8
151e2143647ac
hex104d1416a20

1120202222112 has 288 divisors, whose sum is σ = 3313605335040. Its totient is φ = 358589306880.

The previous prime is 1120202222039. The next prime is 1120202222159. The reversal of 1120202222112 is 2112222020211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078153689 + ... + 1078154727.

It is an arithmetic number, because the mean of its divisors is an integer number (11505574080).

Almost surely, 21120202222112 is an apocalyptic number.

1120202222112 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 1120202222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656802667520).

1120202222112 is an abundant number, since it is smaller than the sum of its proper divisors (2193403112928).

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

1120202222112 is a wasteful number, since it uses less digits than its factorization.

1120202222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1885 counting only the distinct ones).

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

Adding to 1120202222112 its reverse (2112222020211), we get a palindrome (3232424242323).

The spelling of 1120202222112 in words is "one trillion, one hundred twenty billion, two hundred two million, two hundred twenty-two thousand, one hundred twelve".