122142240 has 216 divisors, whose sum is σ = 458800524. Its totient is φ = 29568000.

The previous prime is 122142221. The next prime is 122142247. The reversal of 122142240 is 42241221.

It can be written as a sum of positive squares in 2 ways, for example, as 120033936 + 2108304 = 10956^2 + 1452^2 .

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

It is not an unprimeable number, because it can be changed into a prime (122142247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173890 + ... + 174590.

Almost surely, 2^122142240 is an apocalyptic number.

122142240 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 122142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229400262).

122142240 is an abundant number, since it is smaller than the sum of its proper divisors (336658284).

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

122142240 is a wasteful number, since it uses less digits than its factorization.

122142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 122142240 is about 11051.7980437574. The cubic root of 122142240 is about 496.1602413232.

Adding to 122142240 its reverse (42241221), we get a palindrome (164383461).

The spelling of 122142240 in words is "one hundred twenty-two million, one hundred forty-two thousand, two hundred forty".