121144000000 has 280 divisors, whose sum is σ = 318884199480. Its totient is φ = 45849600000.

The previous prime is 121143999989. The next prime is 121144000079. The reversal of 121144000000 is 441121.

It is a super-3 number, since 3×121144000000³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 151999602 + ... + 152000398.

It is an arithmetic number, because the mean of its divisors is an integer number (1138872141).

Almost surely, 2^121144000000 is an apocalyptic number.

121144000000 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 121144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159442099740).

121144000000 is an abundant number, since it is smaller than the sum of its proper divisors (197740199480).

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

121144000000 is an frugal number, since it uses more digits than its factorization.

121144000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 121144000000 its reverse (441121), we get a palindrome (121144441121).

It can be divided in two parts, 121 and 144000000, that multiplied together give a square (17424000000 = 132000²).

The spelling of 121144000000 in words is "one hundred twenty-one billion, one hundred forty-four million", and thus it is an aban number.