126444066000 has 320 divisors, whose sum is σ = 468494347776. Its totient is φ = 28740096000.

The previous prime is 126444065983. The next prime is 126444066011. The reversal of 126444066000 is 660444621.

It is a super-2 number, since 2×126444066000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7593684 + ... + 7610316.

Almost surely, 2^126444066000 is an apocalyptic number.

126444066000 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 126444066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234247173888).

126444066000 is an abundant number, since it is smaller than the sum of its proper divisors (342050281776).

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

126444066000 is a wasteful number, since it uses less digits than its factorization.

126444066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16847 (or 16831 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 126444066000 in words is "one hundred twenty-six billion, four hundred forty-four million, sixty-six thousand".