121144143120 has 640 divisors, whose sum is σ = 515007037440. Its totient is φ = 22739927040.

The previous prime is 121144143103. The next prime is 121144143151. The reversal of 121144143120 is 21341441121.

It is a happy number.

It is a super-3 number, since 3×121144143120³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11285916 + ... + 11296644.

It is an arithmetic number, because the mean of its divisors is an integer number (804698496).

Almost surely, 2^121144143120 is an apocalyptic number.

121144143120 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 121144143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257503518720).

121144143120 is an abundant number, since it is smaller than the sum of its proper divisors (393862894320).

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

121144143120 is a wasteful number, since it uses less digits than its factorization.

121144143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10823 (or 10817 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 121144143120 its reverse (21341441121), we get a palindrome (142485584241).

The spelling of 121144143120 in words is "one hundred twenty-one billion, one hundred forty-four million, one hundred forty-three thousand, one hundred twenty".