Search a number
-
+
1120132221120 = 263351167175909
BaseRepresentation
bin10000010011001101000…
…101010100100011000000
310222002020221101120021000
4100103031011110203000
5121323012322033440
62214325344532000
7143632630532523
oct20231505244300
93862227346230
101120132221120
113a2055489770
1216110a021000
1381821998653
143c30116abba
151e20d138730
hex104cd1548c0

1120132221120 has 448 divisors, whose sum is σ = 4375177228800. Its totient is φ = 267492741120.

The previous prime is 1120132221119. The next prime is 1120132221133. The reversal of 1120132221120 is 211222310211.

1120132221120 is a `hidden beast` number, since 1 + 1 + 201 + 322 + 21 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1120132221093 and 1120132221102.

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, 6279726 + ... + 6455634.

It is an arithmetic number, because the mean of its divisors is an integer number (9766020600).

Almost surely, 21120132221120 is an apocalyptic number.

1120132221120 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 1120132221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187588614400).

1120132221120 is an abundant number, since it is smaller than the sum of its proper divisors (3255045007680).

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

1120132221120 is a wasteful number, since it uses less digits than its factorization.

1120132221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176013 (or 175997 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1120132221120 its reverse (211222310211), we get a palindrome (1331354531331).

The spelling of 1120132221120 in words is "one trillion, one hundred twenty billion, one hundred thirty-two million, two hundred twenty-one thousand, one hundred twenty".