121011211200000 has 1920 divisors, whose sum is σ = 454143035985408. Its totient is φ = 28381184000000.

The previous prime is 121011211199987. The next prime is 121011211200013. The reversal of 121011211200000 is 2112110121.

It is an interprime number because it is at equal distance from previous prime (121011211199987) and next prime (121011211200013).

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 232267199740 + ... + 232267200260.

Almost surely, 2^{121011211200000} is an apocalyptic number.

121011211200000 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 121011211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227071517992704).

121011211200000 is an abundant number, since it is smaller than the sum of its proper divisors (333131824785408).

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

121011211200000 is an frugal number, since it uses more digits than its factorization.

121011211200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121011211200000 its reverse (2112110121), we get a palindrome (121013323310121).

The spelling of 121011211200000 in words is "one hundred twenty-one trillion, eleven billion, two hundred eleven million, two hundred thousand".