122140433040 has 160 divisors (see below), whose sum is σ = 381631740672. Its totient is φ = 32313600000.

The previous prime is 122140432987. The next prime is 122140433057. The reversal of 122140433040 is 40334041221.

It is a super-3 number, since 3×122140433040³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122140433040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36999390 + ... + 37002690.

Almost surely, 2^122140433040 is an apocalyptic number.

122140433040 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 122140433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190815870336).

122140433040 is an abundant number, since it is smaller than the sum of its proper divisors (259491307632).

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

122140433040 is a wasteful number, since it uses less digits than its factorization.

122140433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 122140433040 its reverse (40334041221), we get a palindrome (162474474261).

The spelling of 122140433040 in words is "one hundred twenty-two billion, one hundred forty million, four hundred thirty-three thousand, forty".