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129421152000 = 283453721019
BaseRepresentation
bin111100010001000011…
…0100000111100000000
3110101001120201201110000
41320202012200330000
54110023303331000
6135242200240000
712231114432600
oct1704206407400
9411046651400
10129421152000
114a983959058
12210baa70000
13c286ca381a
14639a66ac00
153577123000
hex1e221a0f00

129421152000 has 1080 divisors, whose sum is σ = 560797277040. Its totient is φ = 29552947200.

The previous prime is 129421151987. The next prime is 129421152059. The reversal of 129421152000 is 251124921.

129421152000 is a `hidden beast` number, since 1 + 29 + 421 + 15 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 127007491 + ... + 127008509.

It is an arithmetic number, because the mean of its divisors is an integer number (519256738).

Almost surely, 2129421152000 is an apocalyptic number.

129421152000 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 129421152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280398638520).

129421152000 is an abundant number, since it is smaller than the sum of its proper divisors (431376125040).

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

129421152000 is an equidigital number, since it uses as much as digits as its factorization.

129421152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 129421152000 its reverse (251124921), we get a palindrome (129672276921).

The spelling of 129421152000 in words is "one hundred twenty-nine billion, four hundred twenty-one million, one hundred fifty-two thousand".