201124123002 has 96 divisors (see below), whose sum is σ = 500547453120. Its totient is φ = 57722492160.

The previous prime is 201124122977. The next prime is 201124123003. The reversal of 201124123002 is 200321421102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201124123003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20449078 + ... + 20458910.

It is an arithmetic number, because the mean of its divisors is an integer number (5214035970).

Almost surely, 2^201124123002 is an apocalyptic number.

201124123002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201124123002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250273726560).

201124123002 is an abundant number, since it is smaller than the sum of its proper divisors (299423330118).

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

201124123002 is a wasteful number, since it uses less digits than its factorization.

201124123002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15308 (or 15305 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201124123002 its reverse (200321421102), we get a palindrome (401445544104).

The spelling of 201124123002 in words is "two hundred one billion, one hundred twenty-four million, one hundred twenty-three thousand, two".