122121010110000 has 800 divisors, whose sum is σ = 456656449759488. Its totient is φ = 27784232960000.

The previous prime is 122121010109963. The next prime is 122121010110067. The reversal of 122121010110000 is 11010121221.

It is a super-2 number, since 2×122121010110000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 159 ways as a sum of consecutive naturals, for example, 1980299167 + ... + 1980360833.

Almost surely, 2^{122121010110000} is an apocalyptic number.

122121010110000 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 122121010110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228328224879744).

122121010110000 is an abundant number, since it is smaller than the sum of its proper divisors (334535439649488).

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

122121010110000 is a wasteful number, since it uses less digits than its factorization.

122121010110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62079 (or 62058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122121010110000 its reverse (11010121221), we get a palindrome (122132020231221).

The spelling of 122121010110000 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, ten million, one hundred ten thousand".