201120122144000 has 144 divisors (see below), whose sum is σ = 502380558091776. Its totient is φ = 80228839680000.

The previous prime is 201120122143991. The next prime is 201120122144009. The reversal of 201120122144000 is 441221021102.

It is an interprime number because it is at equal distance from previous prime (201120122143991) and next prime (201120122144009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201120122144009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3181325 + ... + 20306675.

Almost surely, 2^{201120122144000} is an apocalyptic number.

201120122144000 is a gapful number since it is divisible by the number (20) 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 201120122144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251190279045888).

201120122144000 is an abundant number, since it is smaller than the sum of its proper divisors (301260435947776).

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

201120122144000 is an equidigital number, since it uses as much as digits as its factorization.

201120122144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17125749 (or 17125725 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 201120122144000 its reverse (441221021102), we get a palindrome (201561343165102).

The spelling of 201120122144000 in words is "two hundred one trillion, one hundred twenty billion, one hundred twenty-two million, one hundred forty-four thousand".