126120568320 has 640 divisors, whose sum is σ = 477768170880. Its totient is φ = 31425822720.

The previous prime is 126120568319. The next prime is 126120568349. The reversal of 126120568320 is 23865021621.

126120568320 is a `hidden beast` number, since 1 + 2 + 61 + 2 + 0 + 568 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 212681944 + ... + 212682536.

It is an arithmetic number, because the mean of its divisors is an integer number (746512767).

Almost surely, 2^126120568320 is an apocalyptic number.

126120568320 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 126120568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238884085440).

126120568320 is an abundant number, since it is smaller than the sum of its proper divisors (351647602560).

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

126120568320 is a wasteful number, since it uses less digits than its factorization.

126120568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 126120568320 its reverse (23865021621), we get a palindrome (149985589941).

The spelling of 126120568320 in words is "one hundred twenty-six billion, one hundred twenty million, five hundred sixty-eight thousand, three hundred twenty".