120342100142400 has 672 divisors, whose sum is σ = 432423143718912. Its totient is φ = 29168883302400.

The previous prime is 120342100142387. The next prime is 120342100142401. The reversal of 120342100142400 is 4241001243021.

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 (120342100142401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1231866357 + ... + 1231964043.

Almost surely, 2^{120342100142400} is an apocalyptic number.

120342100142400 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 120342100142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216211571859456).

120342100142400 is an abundant number, since it is smaller than the sum of its proper divisors (312081043576512).

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

120342100142400 is a wasteful number, since it uses less digits than its factorization.

120342100142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98247 (or 98232 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 120342100142400 its reverse (4241001243021), we get a palindrome (124583101385421).

The spelling of 120342100142400 in words is "one hundred twenty trillion, three hundred forty-two billion, one hundred million, one hundred forty-two thousand, four hundred".