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1332120000 = 2635417653
BaseRepresentation
bin100111101100110…
…1000100111000000
310102211121201002210
41033121220213000
510212010320000
6340103542120
745003555531
oct11731504700
93384551083
101332120000
11623a46522
1231215a940
13182ca2bb3
14c8cc2688
157be37350
hex4f6689c0

1332120000 has 280 divisors, whose sum is σ = 4670517456. Its totient is φ = 333824000.

The previous prime is 1332119981. The next prime is 1332120019. The reversal of 1332120000 is 212331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1332119981) and next prime (1332120019).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2039674 + ... + 2040326.

Almost surely, 21332120000 is an apocalyptic number.

1332120000 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 1332120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335258728).

1332120000 is an abundant number, since it is smaller than the sum of its proper divisors (3338397456).

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

1332120000 is an equidigital number, since it uses as much as digits as its factorization.

1332120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1332120000 is about 36498.2191346372. The cubic root of 1332120000 is about 1100.3084534427.

Adding to 1332120000 its reverse (212331), we get a palindrome (1332332331).

The spelling of 1332120000 in words is "one billion, three hundred thirty-two million, one hundred twenty thousand".