122121211000 has 64 divisors (see below), whose sum is σ = 285936000480. Its totient is φ = 48819020800.

The previous prime is 122121210997. The next prime is 122121211019. The reversal of 122121211000 is 112121221.

It is a super-2 number, since 2×122121211000² (a number of 23 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 15 ways as a sum of consecutive naturals, for example, 1661019 + ... + 1732981.

Almost surely, 2^122121211000 is an apocalyptic number.

122121211000 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 122121211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142968000240).

122121211000 is an abundant number, since it is smaller than the sum of its proper divisors (163814789480).

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

122121211000 is a wasteful number, since it uses less digits than its factorization.

122121211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73681 (or 73667 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122121211000 its reverse (112121221), we get a palindrome (122233332221).

The spelling of 122121211000 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred eleven thousand".