111222121001000 has 32 divisors (see below), whose sum is σ = 260259763144680. Its totient is φ = 44488848400000.

The previous prime is 111222121000967. The next prime is 111222121001009. The reversal of 111222121001000 is 100121222111.

It can be written as a sum of positive squares in 4 ways, for example, as 25485151151524 + 85736969849476 = 5048282^2 + 9259426^2 .

It is a super-2 number, since 2×111222121001000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111222121001009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55611059501 + ... + 55611061500.

Almost surely, 2^{111222121001000} is an apocalyptic number.

111222121001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111222121001000 is an abundant number, since it is smaller than the sum of its proper divisors (149037642143680).

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

111222121001000 is a wasteful number, since it uses less digits than its factorization.

111222121001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111222121022 (or 111222121008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 111222121001000 its reverse (100121222111), we get a palindrome (111322242223111).

The spelling of 111222121001000 in words is "one hundred eleven trillion, two hundred twenty-two billion, one hundred twenty-one million, one thousand".