12102442301400 has 384 divisors, whose sum is σ = 42758850758400. Its totient is φ = 2804704000000.

The previous prime is 12102442301347. The next prime is 12102442301419. The reversal of 12102442301400 is 410324420121.

It is a super-2 number, since 2×12102442301400² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19018375 + ... + 19644425.

It is an arithmetic number, because the mean of its divisors is an integer number (111351173850).

Almost surely, 2^{12102442301400} is an apocalyptic number.

12102442301400 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 12102442301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21379425379200).

12102442301400 is an abundant number, since it is smaller than the sum of its proper divisors (30656408457000).

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

12102442301400 is a wasteful number, since it uses less digits than its factorization.

12102442301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626211 (or 626202 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12102442301400 its reverse (410324420121), we get a palindrome (12512766721521).

It can be divided in two parts, 121024 and 42301400, that added together give a palindrome (42422424).

The spelling of 12102442301400 in words is "twelve trillion, one hundred two billion, four hundred forty-two million, three hundred one thousand, four hundred".