122011500 has 96 divisors (see below), whose sum is σ = 382689216. Its totient is φ = 30028800.

The previous prime is 122011423. The next prime is 122011507. The reversal of 122011500 is 5110221.

It is a super-2 number, since 2×122011500² = 29773612264500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (122011507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16372 + ... + 22628.

It is an arithmetic number, because the mean of its divisors is an integer number (3986346).

Almost surely, 2^122011500 is an apocalyptic number.

122011500 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 122011500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191344608).

122011500 is an abundant number, since it is smaller than the sum of its proper divisors (260677716).

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

122011500 is a wasteful number, since it uses less digits than its factorization.

122011500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6292 (or 6280 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 122011500 is about 11045.8815854598. The cubic root of 122011500 is about 495.9831495750.

Adding to 122011500 its reverse (5110221), we get a palindrome (127121721).

It can be divided in two parts, 1220 and 11500, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 122011500 in words is "one hundred twenty-two million, eleven thousand, five hundred".