120212567440 has 160 divisors (see below), whose sum is σ = 330458849280. Its totient is φ = 39811584000.

The previous prime is 120212567417. The next prime is 120212567471. The reversal of 120212567440 is 44765212021.

It is a super-2 number, since 2×120212567440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120212567396 and 120212567405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2293041 + ... + 2344879.

It is an arithmetic number, because the mean of its divisors is an integer number (2065367808).

Almost surely, 2^120212567440 is an apocalyptic number.

120212567440 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 120212567440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165229424640).

120212567440 is an abundant number, since it is smaller than the sum of its proper divisors (210246281840).

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

120212567440 is a wasteful number, since it uses less digits than its factorization.

120212567440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52001 (or 51995 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

Adding to 120212567440 its reverse (44765212021), we get a palindrome (164977779461).

The spelling of 120212567440 in words is "one hundred twenty billion, two hundred twelve million, five hundred sixty-seven thousand, four hundred forty".