120221412000 has 384 divisors, whose sum is σ = 400822007040. Its totient is φ = 31496601600.

The previous prime is 120221411983. The next prime is 120221412007. The reversal of 120221412000 is 214122021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (120221412007) 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 63 ways as a sum of consecutive naturals, for example, 208355712 + ... + 208356288.

It is an arithmetic number, because the mean of its divisors is an integer number (1043807310).

Almost surely, 2^120221412000 is an apocalyptic number.

120221412000 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 120221412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200411003520).

120221412000 is an abundant number, since it is smaller than the sum of its proper divisors (280600595040).

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

120221412000 is a wasteful number, since it uses less digits than its factorization.

120221412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120221412000 its reverse (214122021), we get a palindrome (120435534021).

The spelling of 120221412000 in words is "one hundred twenty billion, two hundred twenty-one million, four hundred twelve thousand".