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1332120252000 = 25353251442271
BaseRepresentation
bin10011011000101000100…
…011011110111001100000
311201100102202021022120010
4103120220203132321200
5133311140241031000
62455545000044520
7165146116213056
oct23305043367140
94640382238503
101332120252000
11473a491769aa
12196210463740
139880681b405
14486914321d6
15249b8c66d50
hex136288dee60

1332120252000 has 192 divisors, whose sum is σ = 4381422409728. Its totient is φ = 353816000000.

The previous prime is 1332120251989. The next prime is 1332120252013. The reversal of 1332120252000 is 2520212331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2790865 + ... + 3233135.

It is an arithmetic number, because the mean of its divisors is an integer number (22819908384).

Almost surely, 21332120252000 is an apocalyptic number.

1332120252000 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 1332120252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190711204864).

1332120252000 is an abundant number, since it is smaller than the sum of its proper divisors (3049302157728).

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

1332120252000 is a wasteful number, since it uses less digits than its factorization.

1332120252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442550 (or 442532 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 1332120252000 its reverse (2520212331), we get a palindrome (1334640464331).

The spelling of 1332120252000 in words is "one trillion, three hundred thirty-two billion, one hundred twenty million, two hundred fifty-two thousand".