614121120 has 144 divisors (see below), whose sum is σ = 2102739912. Its totient is φ = 163215360.

The previous prime is 614121071. The next prime is 614121121. The reversal of 614121120 is 21121416.

It can be written as a sum of positive squares in 4 ways, for example, as 83832336 + 530288784 = 9156^2 + 23028^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 614121093 and 614121102.

It is not an unprimeable number, because it can be changed into a prime (614121121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605734 + ... + 606746.

Almost surely, 2^614121120 is an apocalyptic number.

614121120 is a gapful number since it is divisible by the number (60) 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 614121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051369956).

614121120 is an abundant number, since it is smaller than the sum of its proper divisors (1488618792).

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

614121120 is a wasteful number, since it uses less digits than its factorization.

614121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 614121120 is about 24781.4672689088. The cubic root of 614121120 is about 849.9982099155.

Adding to 614121120 its reverse (21121416), we get a palindrome (635242536).

It can be divided in two parts, 6141 and 21120, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 614121120 in words is "six hundred fourteen million, one hundred twenty-one thousand, one hundred twenty".