121006872 has 240 divisors, whose sum is σ = 408854160. Its totient is φ = 33312384.

The previous prime is 121006871. The next prime is 121006883. The reversal of 121006872 is 278600121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121006871) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1174773 + ... + 1174875.

It is an arithmetic number, because the mean of its divisors is an integer number (1703559).

Almost surely, 2^121006872 is an apocalyptic number.

121006872 is a gapful number since it is divisible by the number (12) 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 121006872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204427080).

121006872 is an abundant number, since it is smaller than the sum of its proper divisors (287847288).

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

121006872 is a wasteful number, since it uses less digits than its factorization.

121006872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 121006872 is about 11000.3123592014. The cubic root of 121006872 is about 494.6181076498.

Adding to 121006872 its reverse (278600121), we get a palindrome (399606993).

The spelling of 121006872 in words is "one hundred twenty-one million, six thousand, eight hundred seventy-two".