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1120442124432 = 2431971831631279
BaseRepresentation
bin10000010011011111100…
…011100000100010010000
310222010001112112021200110
4100103133203200202100
5121324131140440212
62214420215121320
7143643412626651
oct20233743404220
93863045467613
101120442124432
113a21a4407704
12161195973240
1381870c52ca7
143c33039b528
151e22a451a3c
hex104df8e0890

1120442124432 has 320 divisors, whose sum is σ = 3148598476800. Its totient is φ = 342255352320.

The previous prime is 1120442124359. The next prime is 1120442124463. The reversal of 1120442124432 is 2344212440211.

It is a self number, because there is not a number n which added to its sum of digits gives 1120442124432.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 876029169 + ... + 876030447.

It is an arithmetic number, because the mean of its divisors is an integer number (9839370240).

Almost surely, 21120442124432 is an apocalyptic number.

1120442124432 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 1120442124432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574299238400).

1120442124432 is an abundant number, since it is smaller than the sum of its proper divisors (2028156352368).

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

1120442124432 is a wasteful number, since it uses less digits than its factorization.

1120442124432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1120442124432 its reverse (2344212440211), we get a palindrome (3464654564643).

The spelling of 1120442124432 in words is "one trillion, one hundred twenty billion, four hundred forty-two million, one hundred twenty-four thousand, four hundred thirty-two".