121077000 has 192 divisors, whose sum is σ = 446808960. Its totient is φ = 29328000.

The previous prime is 121076983. The next prime is 121077007. The reversal of 121077000 is 770121.

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

It is not an unprimeable number, because it can be changed into a prime (121077007) 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, 98389 + ... + 99611.

It is an arithmetic number, because the mean of its divisors is an integer number (2327130).

Almost surely, 2^121077000 is an apocalyptic number.

121077000 is a gapful number since it is divisible by the number (10) 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 121077000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223404480).

121077000 is an abundant number, since it is smaller than the sum of its proper divisors (325731960).

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

121077000 is a wasteful number, since it uses less digits than its factorization.

121077000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 121077000 is about 11003.4994433589. The cubic root of 121077000 is about 494.7136390840.

It can be divided in two parts, 1210 and 77000, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 121077000 in words is "one hundred twenty-one million, seventy-seven thousand".