126233433486720 has 2048 divisors, whose sum is σ = 537532858368000. Its totient is φ = 27393584431104.

The previous prime is 126233433486689. The next prime is 126233433486749. The reversal of 126233433486720 is 27684334332621.

126233433486720 is a `hidden beast` number, since 1 + 2 + 6 + 233 + 4 + 3 + 348 + 67 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 92343403477 + ... + 92343404843.

It is an arithmetic number, because the mean of its divisors is an integer number (262467216000).

Almost surely, 2^{126233433486720} is an apocalyptic number.

126233433486720 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 126233433486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268766429184000).

126233433486720 is an abundant number, since it is smaller than the sum of its proper divisors (411299424881280).

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

126233433486720 is a wasteful number, since it uses less digits than its factorization.

126233433486720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

The spelling of 126233433486720 in words is "one hundred twenty-six trillion, two hundred thirty-three billion, four hundred thirty-three million, four hundred eighty-six thousand, seven hundred twenty".