121145310 has 96 divisors (see below), whose sum is σ = 370083168. Its totient is φ = 27106560.

The previous prime is 121145279. The next prime is 121145317. The reversal of 121145310 is 13541121.

121145310 is a `hidden beast` number, since 1 + 211 + 453 + 1 + 0 = 666.

It is a super-3 number, since 3×121145310³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121145317) 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, 8164 + ... + 17576.

It is an arithmetic number, because the mean of its divisors is an integer number (3855033).

Almost surely, 2^121145310 is an apocalyptic number.

121145310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121145310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185041584).

121145310 is an abundant number, since it is smaller than the sum of its proper divisors (248937858).

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

121145310 is a wasteful number, since it uses less digits than its factorization.

121145310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9450 (or 9447 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 121145310 is about 11006.6030181887. The cubic root of 121145310 is about 494.8066584995.

Adding to 121145310 its reverse (13541121), we get a palindrome (134686431).

It can be divided in two parts, 12114 and 5310, that added together give a square (17424 = 132²).

The spelling of 121145310 in words is "one hundred twenty-one million, one hundred forty-five thousand, three hundred ten".