121131124191000 has 4608 divisors, whose sum is σ = 566484536217600. Its totient is φ = 23810105088000.

The previous prime is 121131124190917. The next prime is 121131124191013. The reversal of 121131124191000 is 191421131121.

121131124191000 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 311 + 241 + 9 + 100 + 0 = 666.

121131124191000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 614878802902 + ... + 614878803098.

It is an arithmetic number, because the mean of its divisors is an integer number (122935012200).

Almost surely, 2^{121131124191000} is an apocalyptic number.

121131124191000 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 121131124191000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283242268108800).

121131124191000 is an abundant number, since it is smaller than the sum of its proper divisors (445353412026600).

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

121131124191000 is a wasteful number, since it uses less digits than its factorization.

121131124191000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 121131124191000 in words is "one hundred twenty-one trillion, one hundred thirty-one billion, one hundred twenty-four million, one hundred ninety-one thousand".