121216004 has 72 divisors (see below), whose sum is σ = 268731288. Its totient is φ = 47416320.

The previous prime is 121215979. The next prime is 121216009. The reversal of 121216004 is 400612121.

It can be written as a sum of positive squares in 4 ways, for example, as 26543104 + 94672900 = 5152^2 + 9730^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121216009) 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, 287714 + ... + 288134.

It is an arithmetic number, because the mean of its divisors is an integer number (3732379).

Almost surely, 2^121216004 is an apocalyptic number.

121216004 is a gapful number since it is divisible by the number (14) 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 121216004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134365644).

121216004 is an abundant number, since it is smaller than the sum of its proper divisors (147515284).

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

121216004 is a wasteful number, since it uses less digits than its factorization.

121216004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 121216004 is about 11009.8139857129. The cubic root of 121216004 is about 494.9028874552.

Adding to 121216004 its reverse (400612121), we get a palindrome (521828125).

The spelling of 121216004 in words is "one hundred twenty-one million, two hundred sixteen thousand, four".