123820735890 has 64 divisors (see below), whose sum is σ = 298109538432. Its totient is φ = 32914560000.

The previous prime is 123820735877. The next prime is 123820735891. The reversal of 123820735890 is 98537028321.

It is a happy number.

It is a super-2 number, since 2×123820735890² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123820735891) by changing a digit.

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, 26620065 + ... + 26624715.

It is an arithmetic number, because the mean of its divisors is an integer number (4657961538).

Almost surely, 2^123820735890 is an apocalyptic number.

123820735890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123820735890 is an abundant number, since it is smaller than the sum of its proper divisors (174288802542).

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

123820735890 is a wasteful number, since it uses less digits than its factorization.

123820735890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7275.

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 123820735890 in words is "one hundred twenty-three billion, eight hundred twenty million, seven hundred thirty-five thousand, eight hundred ninety".