121222201101000 has 256 divisors, whose sum is σ = 382814956742400. Its totient is φ = 31932705024000.

The previous prime is 121222201100983. The next prime is 121222201101011. The reversal of 121222201101000 is 101102222121.

It is a super-2 number, since 2×121222201101000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2596797660 + ... + 2596844340.

It is an arithmetic number, because the mean of its divisors is an integer number (1495370924775).

Almost surely, 2^{121222201101000} is an apocalyptic number.

121222201101000 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 121222201101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191407478371200).

121222201101000 is an abundant number, since it is smaller than the sum of its proper divisors (261592755641400).

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

121222201101000 is a wasteful number, since it uses less digits than its factorization.

121222201101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57217 (or 57203 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121222201101000 its reverse (101102222121), we get a palindrome (121323303323121).

The spelling of 121222201101000 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, two hundred one million, one hundred one thousand".