121201122210012 has 216 divisors, whose sum is σ = 345492701307936. Its totient is φ = 35600115672576.

The previous prime is 121201122210001. The next prime is 121201122210019. The reversal of 121201122210012 is 210012221102121.

121201122210012 is a `hidden beast` number, since 121 + 201 + 122 + 210 + 0 + 12 = 666.

It is a super-2 number, since 2×121201122210012² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121201122210019) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32172033 + ... + 35741319.

It is an arithmetic number, because the mean of its divisors is an integer number (1599503246796).

Almost surely, 2^{121201122210012} is an apocalyptic number.

121201122210012 is a gapful number since it is divisible by the number (12) 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 121201122210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172746350653968).

121201122210012 is an abundant number, since it is smaller than the sum of its proper divisors (224291579097924).

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

121201122210012 is a wasteful number, since it uses less digits than its factorization.

121201122210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569437 (or 3569395 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121201122210012 its reverse (210012221102121), we get a palindrome (331213343312133).

The spelling of 121201122210012 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred twenty-two million, two hundred ten thousand, twelve".