126412000 has 288 divisors, whose sum is σ = 388481184. Its totient is φ = 39936000.

The previous prime is 126411991. The next prime is 126412001. The reversal of 126412000 is 214621.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126412001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7435992 + ... + 7436008.

It is an arithmetic number, because the mean of its divisors is an integer number (1348893).

Almost surely, 2^126412000 is an apocalyptic number.

126412000 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 126412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194240592).

126412000 is an abundant number, since it is smaller than the sum of its proper divisors (262069184).

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

126412000 is a wasteful number, since it uses less digits than its factorization.

126412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 126412000 is about 11243.3091214286. The cubic root of 126412000 is about 501.8756219534.

Adding to 126412000 its reverse (214621), we get a palindrome (126626621).

It can be divided in two parts, 12641 and 2000, that added together give a palindrome (14641).

The spelling of 126412000 in words is "one hundred twenty-six million, four hundred twelve thousand".