121142736 has 320 divisors, whose sum is σ = 427472640. Its totient is φ = 32348160.

The previous prime is 121142713. The next prime is 121142759. The reversal of 121142736 is 637241121.

It is an interprime number because it is at equal distance from previous prime (121142713) and next prime (121142759).

It is a super-3 number, since 3×121142736³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2285686 + ... + 2285738.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 2^121142736 is an apocalyptic number.

121142736 is a gapful number since it is divisible by the number (16) 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 121142736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

121142736 is an abundant number, since it is smaller than the sum of its proper divisors (306329904).

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

121142736 is a wasteful number, since it uses less digits than its factorization.

121142736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 121142736 is about 11006.4860877575. The cubic root of 121142736 is about 494.8031540542.

Adding to 121142736 its reverse (637241121), we get a palindrome (758383857).

The spelling of 121142736 in words is "one hundred twenty-one million, one hundred forty-two thousand, seven hundred thirty-six".