126283212000 has 1344 divisors, whose sum is σ = 527990980608. Its totient is φ = 29393280000.

The previous prime is 126283211987. The next prime is 126283212023. The reversal of 126283212000 is 212382621.

126283212000 is a `hidden beast` number, since 1 + 2 + 628 + 32 + 1 + 2 + 0 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 994355937 + ... + 994356063.

It is an arithmetic number, because the mean of its divisors is an integer number (392850432).

Almost surely, 2^126283212000 is an apocalyptic number.

126283212000 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 126283212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263995490304).

126283212000 is an abundant number, since it is smaller than the sum of its proper divisors (401707768608).

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

126283212000 is a wasteful number, since it uses less digits than its factorization.

126283212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 126283212000 its reverse (212382621), we get a palindrome (126495594621).

The spelling of 126283212000 in words is "one hundred twenty-six billion, two hundred eighty-three million, two hundred twelve thousand".