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129712000 = 275311267
BaseRepresentation
bin1111011101100…
…11111110000000
3100001002001102011
413232303332000
5231201241000
620512102304
73133351045
oct756637600
9301061364
10129712000
1167245600
1237534994
1320b47682
14133271cc
15b5c32ba
hex7bb3f80

129712000 has 192 divisors, whose sum is σ = 359770320. Its totient is φ = 46464000.

The previous prime is 129711991. The next prime is 129712003. The reversal of 129712000 is 217921.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129712003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1935967 + ... + 1936033.

Almost surely, 2129712000 is an apocalyptic number.

129712000 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 129712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179885160).

129712000 is an abundant number, since it is smaller than the sum of its proper divisors (230058320).

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

129712000 is an equidigital number, since it uses as much as digits as its factorization.

129712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 129712000 is about 11389.1176128794. The cubic root of 129712000 is about 506.2053356928.

Adding to 129712000 its reverse (217921), we get a palindrome (129929921).

The spelling of 129712000 in words is "one hundred twenty-nine million, seven hundred twelve thousand".