121678128 has 240 divisors, whose sum is σ = 422472960. Its totient is φ = 32140800.

The previous prime is 121678127. The next prime is 121678169. The reversal of 121678128 is 821876121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121678092 and 121678101.

It is not an unprimeable number, because it can be changed into a prime (121678121) 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, 391093 + ... + 391403.

It is an arithmetic number, because the mean of its divisors is an integer number (1760304).

Almost surely, 2^121678128 is an apocalyptic number.

121678128 is a gapful number since it is divisible by the number (18) 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 121678128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211236480).

121678128 is an abundant number, since it is smaller than the sum of its proper divisors (300794832).

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

121678128 is a wasteful number, since it uses less digits than its factorization.

121678128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 359 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 121678128 is about 11030.7809333700. The cubic root of 121678128 is about 495.5310126426.

The spelling of 121678128 in words is "one hundred twenty-one million, six hundred seventy-eight thousand, one hundred twenty-eight".