12124211312400 has 240 divisors, whose sum is σ = 42805401820608. Its totient is φ = 2908901376000.

The previous prime is 12124211312363. The next prime is 12124211312407. The reversal of 12124211312400 is 421311242121.

12124211312400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12124211312407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3454141 + ... + 6014940.

Almost surely, 2^{12124211312400} is an apocalyptic number.

12124211312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12124211312400 is an abundant number, since it is smaller than the sum of its proper divisors (30681190508208).

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

12124211312400 is a wasteful number, since it uses less digits than its factorization.

12124211312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9469210 (or 9469199 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12124211312400 its reverse (421311242121), we get a palindrome (12545522554521).

The spelling of 12124211312400 in words is "twelve trillion, one hundred twenty-four billion, two hundred eleven million, three hundred twelve thousand, four hundred".