121012442010400 has 144 divisors (see below), whose sum is σ = 296023423053960. Its totient is φ = 48306393907200.

The previous prime is 121012442010391. The next prime is 121012442010401. The reversal of 121012442010400 is 4010244210121.

It can be written as a sum of positive squares in 12 ways, for example, as 7802927130384 + 113209514880016 = 2793372^2 + 10639996^2 .

It is a super-2 number, since 2×121012442010400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121012442010401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6822590332 + ... + 6822608068.

Almost surely, 2^{121012442010400} is an apocalyptic number.

121012442010400 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 121012442010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148011711526980).

121012442010400 is an abundant number, since it is smaller than the sum of its proper divisors (175010981043560).

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

121012442010400 is a wasteful number, since it uses less digits than its factorization.

121012442010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34647 (or 34634 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 121012442010400 its reverse (4010244210121), we get a palindrome (125022686220521).

The spelling of 121012442010400 in words is "one hundred twenty-one trillion, twelve billion, four hundred forty-two million, ten thousand, four hundred".