121187016 has 192 divisors, whose sum is σ = 381326400. Its totient is φ = 35831808.

The previous prime is 121186993. The next prime is 121187039. The reversal of 121187016 is 610781121.

It is an interprime number because it is at equal distance from previous prime (121186993) and next prime (121187039).

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 627816 + ... + 628008.

It is an arithmetic number, because the mean of its divisors is an integer number (1986075).

Almost surely, 2^121187016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121187016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190663200).

121187016 is an abundant number, since it is smaller than the sum of its proper divisors (260139384).

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

121187016 is a wasteful number, since it uses less digits than its factorization.

121187016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 121187016 is about 11008.4974451557. The cubic root of 121187016 is about 494.8634334002.

The spelling of 121187016 in words is "one hundred twenty-one million, one hundred eighty-seven thousand, sixteen".