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1122132334120 = 235731741271433
BaseRepresentation
bin10000010101000100010…
…011001001011000101000
310222021102022221211111021
4100111010103021120220
5121341111334142440
62215300034142224
7144033325315000
oct20250423113050
93867368854437
101122132334120
113a29914a3216
12161587a21974
1381a80182275
143c450a55000
151e2c8a1e84a
hex105444c9628

1122132334120 has 512 divisors, whose sum is σ = 3212794368000. Its totient is φ = 351151718400.

The previous prime is 1122132334117. The next prime is 1122132334133. The reversal of 1122132334120 is 214332312211.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2591529424 + ... + 2591529856.

It is an arithmetic number, because the mean of its divisors is an integer number (6274989000).

Almost surely, 21122132334120 is an apocalyptic number.

1122132334120 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 1122132334120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606397184000).

1122132334120 is an abundant number, since it is smaller than the sum of its proper divisors (2090662033880).

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

1122132334120 is a wasteful number, since it uses less digits than its factorization.

1122132334120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1122132334120 its reverse (214332312211), we get a palindrome (1336464646331).

The spelling of 1122132334120 in words is "one trillion, one hundred twenty-two billion, one hundred thirty-two million, three hundred thirty-four thousand, one hundred twenty".