122493000 has 256 divisors, whose sum is σ = 461260800. Its totient is φ = 26438400.

The previous prime is 122492989. The next prime is 122493011. The reversal of 122493000 is 394221.

It is an interprime number because it is at equal distance from previous prime (122492989) and next prime (122493011).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398847 + ... + 399153.

It is an arithmetic number, because the mean of its divisors is an integer number (1801800).

Almost surely, 2^122493000 is an apocalyptic number.

122493000 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 122493000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230630400).

122493000 is an abundant number, since it is smaller than the sum of its proper divisors (338767800).

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

122493000 is a wasteful number, since it uses less digits than its factorization.

122493000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 122493000 is about 11067.6555783056. The cubic root of 122493000 is about 496.6347341200.

The spelling of 122493000 in words is "one hundred twenty-two million, four hundred ninety-three thousand".