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1232132000 = 25531141683
BaseRepresentation
bin100100101110000…
…1101011110100000
310011212110210100112
41021130031132200
510010411211000
6322132510452
742350643401
oct11134153640
93155423315
101232132000
11582563010
122a477b428
131683649b8
14b98d59a8
1573286235
hex4970d7a0

1232132000 has 192 divisors, whose sum is σ = 3388065408. Its totient is φ = 436480000.

The previous prime is 1232131993. The next prime is 1232132009. The reversal of 1232132000 is 2312321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1232132009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1803659 + ... + 1804341.

It is an arithmetic number, because the mean of its divisors is an integer number (17646174).

Almost surely, 21232132000 is an apocalyptic number.

1232132000 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 1232132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694032704).

1232132000 is an abundant number, since it is smaller than the sum of its proper divisors (2155933408).

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

1232132000 is a wasteful number, since it uses less digits than its factorization.

1232132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1232132000 is about 35101.7378487163. The cubic root of 1232132000 is about 1072.0599673144.

Adding to 1232132000 its reverse (2312321), we get a palindrome (1234444321).

The spelling of 1232132000 in words is "one billion, two hundred thirty-two million, one hundred thirty-two thousand".