Search a number
-
+
1120235200000 = 29557293449
BaseRepresentation
bin10000010011010011001…
…110001001111000000000
310222002112010011102201121
4100103103032021320000
5121323220202400000
62214343504042024
7143635321042510
oct20232316117000
93862463142647
101120235200000
113a20a8625284
12161138603314
138183a112cb7
143c310ad5840
151e2171cab1a
hex104d3389e00

1120235200000 has 480 divisors, whose sum is σ = 3308553864000. Its totient is φ = 370728960000.

The previous prime is 1120235199947. The next prime is 1120235200001. The reversal of 1120235200000 is 25320211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120235200001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324798276 + ... + 324801724.

It is an arithmetic number, because the mean of its divisors is an integer number (6892820550).

Almost surely, 21120235200000 is an apocalyptic number.

1120235200000 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 1120235200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654276932000).

1120235200000 is an abundant number, since it is smaller than the sum of its proper divisors (2188318664000).

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

1120235200000 is an frugal number, since it uses more digits than its factorization.

1120235200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The spelling of 1120235200000 in words is "one trillion, one hundred twenty billion, two hundred thirty-five million, two hundred thousand".