122189871840 has 384 divisors, whose sum is σ = 416914283520. Its totient is φ = 29966696448.

The previous prime is 122189871821. The next prime is 122189871841. The reversal of 122189871840 is 48178981221.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122189871841) 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 63 ways as a sum of consecutive naturals, for example, 155259927 + ... + 155260713.

It is an arithmetic number, because the mean of its divisors is an integer number (1085714280).

Almost surely, 2^122189871840 is an apocalyptic number.

122189871840 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 122189871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208457141760).

122189871840 is an abundant number, since it is smaller than the sum of its proper divisors (294724411680).

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

122189871840 is a wasteful number, since it uses less digits than its factorization.

122189871840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 51.

The spelling of 122189871840 in words is "one hundred twenty-two billion, one hundred eighty-nine million, eight hundred seventy-one thousand, eight hundred forty".