11201212022000 has 640 divisors, whose sum is σ = 36404325974016. Its totient is φ = 3219264000000.

The previous prime is 11201212021963. The next prime is 11201212022003. The reversal of 11201212022000 is 22021210211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201212022003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2304299570 + ... + 2304304430.

Almost surely, 2^{11201212022000} is an apocalyptic number.

11201212022000 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 11201212022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18202162987008).

11201212022000 is an abundant number, since it is smaller than the sum of its proper divisors (25203113952016).

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

11201212022000 is a wasteful number, since it uses less digits than its factorization.

11201212022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066 (or 6050 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11201212022000 its reverse (22021210211), we get a palindrome (11223233232211).

The spelling of 11201212022000 in words is "eleven trillion, two hundred one billion, two hundred twelve million, twenty-two thousand".