Search a number
-
+
1122333332120 = 235741113711151
BaseRepresentation
bin10000010101010000010…
…001111001001010011000
310222021221100011120220122
4100111100101321022120
5121342014313111440
62215332014212412
7144041315630000
oct20252021711230
93867840146818
101122333332120
113a2a849a7a70
121616231b4108
1381ab29c88b0
143c46d617000
151e2db4c47b5
hex10550479298

1122333332120 has 640 divisors, whose sum is σ = 3512771297280. Its totient is φ = 318084480000.

The previous prime is 1122333332089. The next prime is 1122333332167. The reversal of 1122333332120 is 212333332211.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1122333332120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 975093545 + ... + 975094695.

It is an arithmetic number, because the mean of its divisors is an integer number (5488705152).

Almost surely, 21122333332120 is an apocalyptic number.

1122333332120 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 1122333332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756385648640).

1122333332120 is an abundant number, since it is smaller than the sum of its proper divisors (2390437965160).

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

1122333332120 is a wasteful number, since it uses less digits than its factorization.

1122333332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 1122333332120 its reverse (212333332211), we get a palindrome (1334666664331).

Subtracting from 1122333332120 its reverse (212333332211), we obtain a palindrome (909999999909).

The spelling of 1122333332120 in words is "one trillion, one hundred twenty-two billion, three hundred thirty-three million, three hundred thirty-two thousand, one hundred twenty".