121032110340 has 144 divisors (see below), whose sum is σ = 369430287408. Its totient is φ = 32073449472.

The previous prime is 121032110321. The next prime is 121032110347. The reversal of 121032110340 is 43011230121.

121032110340 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 321 + 1 + 0 + 340 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1140277824 + 119891832516 = 33768^2 + 346254^2 .

It is a super-3 number, since 3×121032110340³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121032110347) 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, 58952754 + ... + 58954806.

It is an arithmetic number, because the mean of its divisors is an integer number (2565488107).

Almost surely, 2^121032110340 is an apocalyptic number.

121032110340 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 121032110340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184715143704).

121032110340 is an abundant number, since it is smaller than the sum of its proper divisors (248398177068).

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

121032110340 is a wasteful number, since it uses less digits than its factorization.

121032110340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121032110340 its reverse (43011230121), we get a palindrome (164043340461).

The spelling of 121032110340 in words is "one hundred twenty-one billion, thirty-two million, one hundred ten thousand, three hundred forty".