126120040464000 has 384 divisors, whose sum is σ = 459551221496640. Its totient is φ = 30574553856000.

The previous prime is 126120040463987. The next prime is 126120040464001. The reversal of 126120040464000 is 464040021621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (126120040464001) 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, 5049442 + ... + 16665441.

Almost surely, 2^{126120040464000} is an apocalyptic number.

126120040464000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126120040464000 is an abundant number, since it is smaller than the sum of its proper divisors (333431181032640).

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

126120040464000 is a wasteful number, since it uses less digits than its factorization.

126120040464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21714937 (or 21714904 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 126120040464000 its reverse (464040021621), we get a palindrome (126584080485621).

The spelling of 126120040464000 in words is "one hundred twenty-six trillion, one hundred twenty billion, forty million, four hundred sixty-four thousand".