120221212111200 has 432 divisors, whose sum is σ = 440472129604416. Its totient is φ = 31997664576000.

The previous prime is 120221212111181. The next prime is 120221212111211. The reversal of 120221212111200 is 2111212122021.

120221212111200 is a `hidden beast` number, since 1 + 20 + 221 + 212 + 1 + 11 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×120221212111200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101079975 + ... + 102262425.

Almost surely, 2^{120221212111200} is an apocalyptic number.

120221212111200 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 120221212111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220236064802208).

120221212111200 is an abundant number, since it is smaller than the sum of its proper divisors (320250917493216).

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

120221212111200 is a wasteful number, since it uses less digits than its factorization.

120221212111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183009 (or 1182984 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120221212111200 its reverse (2111212122021), we get a palindrome (122332424233221).

The spelling of 120221212111200 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred twelve million, one hundred eleven thousand, two hundred".