121112010212000 has 192 divisors, whose sum is σ = 298207558460448. Its totient is φ = 48341422080000.

The previous prime is 121112010211963. The next prime is 121112010212009. The reversal of 121112010212000 is 212010211121.

It can be written as a sum of positive squares in 16 ways, for example, as 7518278834704 + 113593731377296 = 2741948^2 + 10658036^2 .

It is not an unprimeable number, because it can be changed into a prime (121112010212009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11151086570 + ... + 11151097430.

Almost surely, 2^{121112010212000} is an apocalyptic number.

121112010212000 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 121112010212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149103779230224).

121112010212000 is an abundant number, since it is smaller than the sum of its proper divisors (177095548248448).

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

121112010212000 is a wasteful number, since it uses less digits than its factorization.

121112010212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16580 (or 16562 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121112010212000 its reverse (212010211121), we get a palindrome (121324020423121).

The spelling of 121112010212000 in words is "one hundred twenty-one trillion, one hundred twelve billion, ten million, two hundred twelve thousand".