121310213211000 has 384 divisors, whose sum is σ = 447446413290240. Its totient is φ = 29399162976000.

The previous prime is 121310213210969. The next prime is 121310213211023. The reversal of 121310213211000 is 112312013121.

121310213211000 is a `hidden beast` number, since 1 + 2 + 1 + 310 + 21 + 321 + 10 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 312943299 + ... + 313330701.

It is an arithmetic number, because the mean of its divisors is an integer number (1165225034610).

Almost surely, 2^{121310213211000} is an apocalyptic number.

121310213211000 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 121310213211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223723206645120).

121310213211000 is an abundant number, since it is smaller than the sum of its proper divisors (326136200079240).

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

121310213211000 is a wasteful number, since it uses less digits than its factorization.

121310213211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390604 (or 390587 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121310213211000 its reverse (112312013121), we get a palindrome (121422525224121).

The spelling of 121310213211000 in words is "one hundred twenty-one trillion, three hundred ten billion, two hundred thirteen million, two hundred eleven thousand".