121012306214400 has 480 divisors, whose sum is σ = 444475784095200. Its totient is φ = 32248022630400.

The previous prime is 121012306214351. The next prime is 121012306214431. The reversal of 121012306214400 is 4412603210121.

121012306214400 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 1 + 2 + 30 + 621 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511715386 + ... + 511951814.

It is an arithmetic number, because the mean of its divisors is an integer number (925991216865).

Almost surely, 2^{121012306214400} is an apocalyptic number.

121012306214400 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 121012306214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222237892047600).

121012306214400 is an abundant number, since it is smaller than the sum of its proper divisors (323463477880800).

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

121012306214400 is a wasteful number, since it uses less digits than its factorization.

121012306214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237947 (or 237920 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 121012306214400 its reverse (4412603210121), we get a palindrome (125424909424521).

The spelling of 121012306214400 in words is "one hundred twenty-one trillion, twelve billion, three hundred six million, two hundred fourteen thousand, four hundred".