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1332121032320 = 275131918014679
BaseRepresentation
bin10011011000101000100…
…110011101011010000000
311201100102210201221221212
4103120220212131122000
5133311140441013240
62455545024505252
7165146125643051
oct23305046353200
94640383657855
101332121032320
11473a4965a1a1
1219621077b228
1398806a32640
1448691596728
15249b8d6d165
hex1362899d680

1332121032320 has 256 divisors, whose sum is σ = 3612851424000. Its totient is φ = 465614438400.

The previous prime is 1332121032269. The next prime is 1332121032323. The reversal of 1332121032320 is 232301212331.

It is not an unprimeable number, because it can be changed into a prime (1332121032323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 284699741 + ... + 284704419.

It is an arithmetic number, because the mean of its divisors is an integer number (14112700875).

Almost surely, 21332121032320 is an apocalyptic number.

1332121032320 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 1332121032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806425712000).

1332121032320 is an abundant number, since it is smaller than the sum of its proper divisors (2280730391680).

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

1332121032320 is a wasteful number, since it uses less digits than its factorization.

1332121032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6531 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1332121032320 its reverse (232301212331), we get a palindrome (1564422244651).

The spelling of 1332121032320 in words is "one trillion, three hundred thirty-two billion, one hundred twenty-one million, thirty-two thousand, three hundred twenty".