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1320122121120 = 2532511365922777
BaseRepresentation
bin10011001101011101011…
…010001111101110100000
311200012110120200010011100
4103031131122033232200
5133112102230333440
62450242234314400
7164242566612465
oct23153532175640
94605416603140
101320122121120
11469951581660
12193a22288a00
1397643b8c59a
1447c73b7d66c
1524515765230
hex1335d68fba0

1320122121120 has 288 divisors, whose sum is σ = 4916013560640. Its totient is φ = 319928094720.

The previous prime is 1320122121113. The next prime is 1320122121121. The reversal of 1320122121120 is 211212210231.

1320122121120 is a `hidden beast` number, since 1 + 320 + 1 + 221 + 2 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1320122121093 and 1320122121102.

It is not an unprimeable number, because it can be changed into a prime (1320122121121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57947172 + ... + 57969948.

It is an arithmetic number, because the mean of its divisors is an integer number (17069491530).

Almost surely, 21320122121120 is an apocalyptic number.

1320122121120 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 1320122121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458006780320).

1320122121120 is an abundant number, since it is smaller than the sum of its proper divisors (3595891439520).

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

1320122121120 is a wasteful number, since it uses less digits than its factorization.

1320122121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26468 (or 26457 counting only the distinct ones).

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

Adding to 1320122121120 its reverse (211212210231), we get a palindrome (1531334331351).

The spelling of 1320122121120 in words is "one trillion, three hundred twenty billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".