122661045000 has 540 divisors, whose sum is σ = 453082346145. Its totient is φ = 29955744000.

The previous prime is 122661044939. The next prime is 122661045007. The reversal of 122661045000 is 540166221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122661045000 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 610 + 45 + 0 + 0 + 0 = 666.

122661045000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 47827065636 + 74833979364 = 218694^2 + 273558^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247650.

It is not an unprimeable number, because it can be changed into a prime (122661045007) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 965834937 + ... + 965835063.

Almost surely, 2^122661045000 is an apocalyptic number.

122661045000 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 122661045000

122661045000 is an abundant number, since it is smaller than the sum of its proper divisors (330421301145).

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

122661045000 is a wasteful number, since it uses less digits than its factorization.

122661045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 122661045000 in words is "one hundred twenty-two billion, six hundred sixty-one million, forty-five thousand".