122066451840 has 256 divisors, whose sum is σ = 417197952000. Its totient is φ = 30247845888.

The previous prime is 122066451839. The next prime is 122066451889. The reversal of 122066451840 is 48154660221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2554891 + ... + 2602229.

It is an arithmetic number, because the mean of its divisors is an integer number (1629679500).

Almost surely, 2^122066451840 is an apocalyptic number.

122066451840 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 122066451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208598976000).

122066451840 is an abundant number, since it is smaller than the sum of its proper divisors (295131500160).

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

122066451840 is a wasteful number, since it uses less digits than its factorization.

122066451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47457 (or 47445 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 122066451840 in words is "one hundred twenty-two billion, sixty-six million, four hundred fifty-one thousand, eight hundred forty".