122014141400 has 48 divisors (see below), whose sum is σ = 284607070440. Its totient is φ = 48646656000.

The previous prime is 122014141399. The next prime is 122014141541. The reversal of 122014141400 is 4141410221.

122014141400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 932201 + ... + 1055000.

Almost surely, 2^122014141400 is an apocalyptic number.

122014141400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122014141400 is an abundant number, since it is smaller than the sum of its proper divisors (162592929040).

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

122014141400 is a wasteful number, since it uses less digits than its factorization.

122014141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987524 (or 1987515 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122014141400 its reverse (4141410221), we get a palindrome (126155551621).

The spelling of 122014141400 in words is "one hundred twenty-two billion, fourteen million, one hundred forty-one thousand, four hundred".