Search a number
-
+
1120122021120 = 283523291632683
BaseRepresentation
bin10000010011001100011…
…110011010010100000000
310222002020020012100111020
4100103030132122110000
5121323002214133440
62214324342145440
7143632445041104
oct20231436322400
93862206170436
101120122021120
113a204a752313
12161106722280
138181c836a4b
143c2dda73904
151e20c2c13d0
hex104cc79a500

1120122021120 has 576 divisors, whose sum is σ = 3886789294080. Its totient is φ = 274065555456.

The previous prime is 1120122021103. The next prime is 1120122021157. The reversal of 1120122021120 is 211202210211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1120122021120.

It is a congruent number.

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, 417487299 + ... + 417489981.

It is an arithmetic number, because the mean of its divisors is an integer number (6747898080).

Almost surely, 21120122021120 is an apocalyptic number.

1120122021120 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 1120122021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943394647040).

1120122021120 is an abundant number, since it is smaller than the sum of its proper divisors (2766667272960).

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

1120122021120 is a wasteful number, since it uses less digits than its factorization.

1120122021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1120122021120 its reverse (211202210211), we get a palindrome (1331324231331).

The spelling of 1120122021120 in words is "one trillion, one hundred twenty billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty".