121014000 has 280 divisors, whose sum is σ = 444002832. Its totient is φ = 31881600.

The previous prime is 121013989. The next prime is 121014011. The reversal of 121014000 is 410121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121013989) and next prime (121014011).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1457959 + ... + 1458041.

Almost surely, 2^121014000 is an apocalyptic number.

121014000 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 121014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222001416).

121014000 is an abundant number, since it is smaller than the sum of its proper divisors (322988832).

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

121014000 is an frugal number, since it uses more digits than its factorization.

121014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 121014000 is about 11000.6363452302. The cubic root of 121014000 is about 494.6278194086.

Adding to 121014000 its reverse (410121), we get a palindrome (121424121).

The spelling of 121014000 in words is "one hundred twenty-one million, fourteen thousand".