120221221121010 has 192 divisors, whose sum is σ = 334498655967840. Its totient is φ = 29851199078400.

The previous prime is 120221221120991. The next prime is 120221221121047. The reversal of 120221221121010 is 10121122122021.

120221221121010 is a `hidden beast` number, since 1 + 2 + 0 + 221 + 221 + 1 + 210 + 10 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 105315683849649 + 14905537271361 = 10262343^2 + 3860769^2 .

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

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, 198887394 + ... + 199490946.

Almost surely, 2^{120221221121010} is an apocalyptic number.

120221221121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120221221121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167249327983920).

120221221121010 is an abundant number, since it is smaller than the sum of its proper divisors (214277434846830).

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

120221221121010 is a wasteful number, since it uses less digits than its factorization.

120221221121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604973 (or 604970 counting only the distinct ones).

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

Adding to 120221221121010 its reverse (10121122122021), we get a palindrome (130342343243031).

The spelling of 120221221121010 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, ten".