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1320233121120 = 253543611576679
BaseRepresentation
bin10011001101100100000…
…001101011010101100000
311200012202022112111112110
4103031210001223111200
5133112314134333440
62450301241355320
7164245415240604
oct23154401532540
94605668474473
101320233121120
114699a91a65a1
12193a53498b40
1397660b84b64
1447c847d5504
152452038e080
hex1336406b560

1320233121120 has 384 divisors, whose sum is σ = 4353411363840. Its totient is φ = 336032686080.

The previous prime is 1320233121083. The next prime is 1320233121143. The reversal of 1320233121120 is 211213320231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197665941 + ... + 197672619.

It is an arithmetic number, because the mean of its divisors is an integer number (11337008760).

Almost surely, 21320233121120 is an apocalyptic number.

1320233121120 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 1320233121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176705681920).

1320233121120 is an abundant number, since it is smaller than the sum of its proper divisors (3033178242720).

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

1320233121120 is a wasteful number, since it uses less digits than its factorization.

1320233121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6958 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1320233121120 its reverse (211213320231), we get a palindrome (1531446441351).

The spelling of 1320233121120 in words is "one trillion, three hundred twenty billion, two hundred thirty-three million, one hundred twenty-one thousand, one hundred twenty".