2412123051520 has 320 divisors, whose sum is σ = 7183461479040. Its totient is φ = 756385579008.

The previous prime is 2412123051511. The next prime is 2412123051529. The reversal of 2412123051520 is 251503212142.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2412123051511) and next prime (2412123051529).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412123051529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25345144 + ... + 25440136.

It is an arithmetic number, because the mean of its divisors is an integer number (22448317122).

Almost surely, 2^{2412123051520} is an apocalyptic number.

2412123051520 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 2412123051520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591730739520).

2412123051520 is an abundant number, since it is smaller than the sum of its proper divisors (4771338427520).

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

2412123051520 is a wasteful number, since it uses less digits than its factorization.

2412123051520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95145 (or 95129 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 2412123051520 its reverse (251503212142), we get a palindrome (2663626263662).

The spelling of 2412123051520 in words is "two trillion, four hundred twelve billion, one hundred twenty-three million, fifty-one thousand, five hundred twenty".