120540443100000 has 1152 divisors, whose sum is σ = 522095337759744. Its totient is φ = 23573913600000.

The previous prime is 120540443099977. The next prime is 120540443100001. The reversal of 120540443100000 is 1344045021.

It is a super-2 number, since 2×120540443100000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120540443100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 392546524 + ... + 392853476.

It is an arithmetic number, because the mean of its divisors is an integer number (453207758472).

Almost surely, 2^{120540443100000} is an apocalyptic number.

120540443100000 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 120540443100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261047668879872).

120540443100000 is an abundant number, since it is smaller than the sum of its proper divisors (401554894659744).

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

120540443100000 is a wasteful number, since it uses less digits than its factorization.

120540443100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307026 (or 306998 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 120540443100000 its reverse (1344045021), we get a palindrome (120541787145021).

The spelling of 120540443100000 in words is "one hundred twenty trillion, five hundred forty billion, four hundred forty-three million, one hundred thousand".