122010233013240 has 256 divisors, whose sum is σ = 430176323404800. Its totient is φ = 27293195980800.

The previous prime is 122010233013173. The next prime is 122010233013241. The reversal of 122010233013240 is 42310332010221.

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 122010233013240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122010233013241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46619796 + ... + 49167324.

It is an arithmetic number, because the mean of its divisors is an integer number (1680376263300).

Almost surely, 2^{122010233013240} is an apocalyptic number.

122010233013240 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 122010233013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215088161702400).

122010233013240 is an abundant number, since it is smaller than the sum of its proper divisors (308166090391560).

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

122010233013240 is a wasteful number, since it uses less digits than its factorization.

122010233013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550358 (or 2550354 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122010233013240 its reverse (42310332010221), we get a palindrome (164320565023461).

The spelling of 122010233013240 in words is "one hundred twenty-two trillion, ten billion, two hundred thirty-three million, thirteen thousand, two hundred forty".