122114700 has 108 divisors (see below), whose sum is σ = 385032648. Its totient is φ = 32371200.

The previous prime is 122114683. The next prime is 122114717. The reversal of 122114700 is 7411221.

It is an interprime number because it is at equal distance from previous prime (122114683) and next prime (122114717).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 216619 + ... + 217181.

Almost surely, 2^122114700 is an apocalyptic number.

122114700 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 122114700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192516324).

122114700 is an abundant number, since it is smaller than the sum of its proper divisors (262917948).

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

122114700 is a wasteful number, since it uses less digits than its factorization.

122114700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 122114700 is about 11050.5520224105. The cubic root of 122114700 is about 496.1229479725.

Adding to 122114700 its reverse (7411221), we get a palindrome (129525921).

The spelling of 122114700 in words is "one hundred twenty-two million, one hundred fourteen thousand, seven hundred".