120206546460 has 1728 divisors, whose sum is σ = 539461278720. Its totient is φ = 20961607680.

The previous prime is 120206546429. The next prime is 120206546489. The reversal of 120206546460 is 64645602021.

120206546460 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 0 + 6 + 5 + 4 + 646 + 0 = 666.

It is a super-2 number, since 2×120206546460² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 575 ways as a sum of consecutive naturals, for example, 1646664984 + ... + 1646665056.

It is an arithmetic number, because the mean of its divisors is an integer number (312188240).

Almost surely, 2^120206546460 is an apocalyptic number.

120206546460 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 120206546460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269730639360).

120206546460 is an abundant number, since it is smaller than the sum of its proper divisors (419254732260).

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

120206546460 is a wasteful number, since it uses less digits than its factorization.

120206546460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 120206 and 546460, that added together give a palindrome (666666).

The spelling of 120206546460 in words is "one hundred twenty billion, two hundred six million, five hundred forty-six thousand, four hundred sixty".