120021211200000 has 960 divisors, whose sum is σ = 437856895365120. Its totient is φ = 28971264000000.

The previous prime is 120021211199999. The next prime is 120021211200043. The reversal of 120021211200000 is 2112120021.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×120021211200000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12619195245 + ... + 12619204755.

It is an arithmetic number, because the mean of its divisors is an integer number (456100932672).

Almost surely, 2^{120021211200000} is an apocalyptic number.

120021211200000 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 120021211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218928447682560).

120021211200000 is an abundant number, since it is smaller than the sum of its proper divisors (317835684165120).

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

120021211200000 is an frugal number, since it uses more digits than its factorization.

120021211200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9807 (or 9771 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120021211200000 its reverse (2112120021), we get a palindrome (120023323320021).

The spelling of 120021211200000 in words is "one hundred twenty trillion, twenty-one billion, two hundred eleven million, two hundred thousand".