122020300201300 has 18 divisors (see below), whose sum is σ = 264784051437038. Its totient is φ = 48808120080480.

The previous prime is 122020300201279. The next prime is 122020300201321. The reversal of 122020300201300 is 3102003020221.

It is an interprime number because it is at equal distance from previous prime (122020300201279) and next prime (122020300201321).

It can be written as a sum of positive squares in 3 ways, for example, as 6413850023364 + 115606450177936 = 2532558^2 + 10752044^2 .

It is a super-2 number, since 2×122020300201300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610101500907 + ... + 610101501106.

Almost surely, 2^{122020300201300} is an apocalyptic number.

122020300201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020300201300 is an abundant number, since it is smaller than the sum of its proper divisors (142763751235738).

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

122020300201300 is a wasteful number, since it uses less digits than its factorization.

122020300201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220203002027 (or 1220203002020 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 122020300201300 its reverse (3102003020221), we get a palindrome (125122303221521).

The spelling of 122020300201300 in words is "one hundred twenty-two trillion, twenty billion, three hundred million, two hundred one thousand, three hundred".