121211101011000 has 3072 divisors, whose sum is σ = 536402817699840. Its totient is φ = 22382438400000.

The previous prime is 121211101010971. The next prime is 121211101011017. The reversal of 121211101011000 is 110101112121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 78555476229 + ... + 78555477771.

It is an arithmetic number, because the mean of its divisors is an integer number (174610292220).

Almost surely, 2^{121211101011000} is an apocalyptic number.

121211101011000 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 121211101011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268201408849920).

121211101011000 is an abundant number, since it is smaller than the sum of its proper divisors (415191716688840).

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

121211101011000 is a wasteful number, since it uses less digits than its factorization.

121211101011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 121211101011000 its reverse (110101112121), we get a palindrome (121321202123121).

The spelling of 121211101011000 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred one million, eleven thousand".