122012040 has 64 divisors (see below), whose sum is σ = 369696960. Its totient is φ = 32211200.

The previous prime is 122012029. The next prime is 122012041. The reversal of 122012040 is 40210221.

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 (122012041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7087 + ... + 17153.

It is an arithmetic number, because the mean of its divisors is an integer number (5776515).

Almost surely, 2^122012040 is an apocalyptic number.

122012040 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 122012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184848480).

122012040 is an abundant number, since it is smaller than the sum of its proper divisors (247684920).

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

122012040 is a wasteful number, since it uses less digits than its factorization.

122012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10182 (or 10178 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 122012040 is about 11045.9060289322. The cubic root of 122012040 is about 495.9838812833.

Adding to 122012040 its reverse (40210221), we get a palindrome (162222261).

It can be divided in two parts, 12201 and 2040, that multiplied together give a triangular number (24890040 = T₇₀₅₅).

The spelling of 122012040 in words is "one hundred twenty-two million, twelve thousand, forty".