121144202340 has 288 divisors, whose sum is σ = 404411180544. Its totient is φ = 27004723200.

The previous prime is 121144202321. The next prime is 121144202383. The reversal of 121144202340 is 43202441121.

It is a super-3 number, since 3×121144202340³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 121144202340.

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, 43248940 + ... + 43251740.

It is an arithmetic number, because the mean of its divisors is an integer number (1404205488).

Almost surely, 2^121144202340 is an apocalyptic number.

121144202340 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 121144202340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202205590272).

121144202340 is an abundant number, since it is smaller than the sum of its proper divisors (283266978204).

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

121144202340 is a wasteful number, since it uses less digits than its factorization.

121144202340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187 (or 3178 counting only the distinct ones).

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

Adding to 121144202340 its reverse (43202441121), we get a palindrome (164346643461).

The spelling of 121144202340 in words is "one hundred twenty-one billion, one hundred forty-four million, two hundred two thousand, three hundred forty".