121381000 has 64 divisors (see below), whose sum is σ = 305912880. Its totient is φ = 44812800.

The previous prime is 121380991. The next prime is 121381009. The reversal of 121381000 is 183121.

It is an interprime number because it is at equal distance from previous prime (121380991) and next prime (121381009).

It can be written as a sum of positive squares in 8 ways, for example, as 8213956 + 113167044 = 2866^2 + 10638^2 .

It is a super-2 number, since 2×121381000² = 29466694322000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121381009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8332 + ... + 17668.

Almost surely, 2^121381000 is an apocalyptic number.

121381000 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 121381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152956440).

121381000 is an abundant number, since it is smaller than the sum of its proper divisors (184531880).

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

121381000 is a wasteful number, since it uses less digits than its factorization.

121381000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9371 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 121381000 is about 11017.3045705381. The cubic root of 121381000 is about 495.1273351968.

The spelling of 121381000 in words is "one hundred twenty-one million, three hundred eighty-one thousand".