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1220112000000 = 210325637229
BaseRepresentation
bin10001110000010100010…
…101111010010000000000
311022122022200222120100100
4101300110111322100000
5124442242133000000
62332302310322400
7154102340611365
oct21602425722000
94278280876310
101220112000000
114304a04633a3
12178571059400
138b09624811a
14430a764646c
1521b106cba00
hex11c1457a400

1220112000000 has 924 divisors, whose sum is σ = 4542522714340. Its totient is φ = 315187200000.

The previous prime is 1220111999971. The next prime is 1220112000001. The reversal of 1220112000000 is 2110221.

It can be written as a sum of positive squares in 14 ways, for example, as 1215426871296 + 4685128704 = 1102464^2 + 68448^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1220112000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5327999886 + ... + 5328000114.

Almost surely, 21220112000000 is an apocalyptic number.

1220112000000 is a gapful number since it is divisible by the number (10) 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 1220112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271261357170).

1220112000000 is an abundant number, since it is smaller than the sum of its proper divisors (3322410714340).

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

1220112000000 is an frugal number, since it uses more digits than its factorization.

1220112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1220112000000 its reverse (2110221), we get a palindrome (1220114110221).

The spelling of 1220112000000 in words is "one trillion, two hundred twenty billion, one hundred twelve million", and thus it is an aban number.