121024334024200 has 192 divisors, whose sum is σ = 292344053850000. Its totient is φ = 46554519306240.

The previous prime is 121024334024183. The next prime is 121024334024263. The reversal of 121024334024200 is 2420433420121.

It can be written as a sum of positive squares in 24 ways, for example, as 7313206038436 + 113711127985764 = 2704294^2 + 10663542^2 .

It is a super-2 number, since 2×121024334024200² (a number of 29 digits) contains 22 as substring.

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, 1813092426 + ... + 1813159174.

Almost surely, 2^{121024334024200} is an apocalyptic number.

121024334024200 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 121024334024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146172026925000).

121024334024200 is an abundant number, since it is smaller than the sum of its proper divisors (171319719825800).

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

121024334024200 is a wasteful number, since it uses less digits than its factorization.

121024334024200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69644 (or 69635 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 121024334024200 its reverse (2420433420121), we get a palindrome (123444767444321).

The spelling of 121024334024200 in words is "one hundred twenty-one trillion, twenty-four billion, three hundred thirty-four million, twenty-four thousand, two hundred".