129012000 has 192 divisors, whose sum is σ = 455704704. Its totient is φ = 31718400.

The previous prime is 129011999. The next prime is 129012029. The reversal of 129012000 is 210921.

It is a happy number.

It is a super-2 number, since 2×129012000² = 33288192288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155587 + ... + 156413.

It is an arithmetic number, because the mean of its divisors is an integer number (2373462).

Almost surely, 2^129012000 is an apocalyptic number.

129012000 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 129012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227852352).

129012000 is an abundant number, since it is smaller than the sum of its proper divisors (326692704).

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

129012000 is a wasteful number, since it uses less digits than its factorization.

129012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 129012000 is about 11358.3449498596. The cubic root of 129012000 is about 505.2931017524.

Adding to 129012000 its reverse (210921), we get a palindrome (129222921).

The spelling of 129012000 in words is "one hundred twenty-nine million, twelve thousand".