121222211011000 has 256 divisors, whose sum is σ = 328959086976000. Its totient is φ = 41347281600000.

The previous prime is 121222211010997. The next prime is 121222211011009. The reversal of 121222211011000 is 110112222121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121222211011009) 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, 18237661 + ... + 23980339.

It is an arithmetic number, because the mean of its divisors is an integer number (1284996433500).

Almost surely, 2^{121222211011000} is an apocalyptic number.

121222211011000 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 121222211011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164479543488000).

121222211011000 is an abundant number, since it is smaller than the sum of its proper divisors (207736875965000).

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

121222211011000 is a wasteful number, since it uses less digits than its factorization.

121222211011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742831 (or 5742817 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121222211011000 its reverse (110112222121), we get a palindrome (121332323233121).

The spelling of 121222211011000 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, two hundred eleven million, eleven thousand".