121012222012200 has 768 divisors, whose sum is σ = 440295935328000. Its totient is φ = 30505655255040.

The previous prime is 121012222012183. The next prime is 121012222012211. The reversal of 121012222012200 is 2210222210121.

It is a happy number.

121012222012200 is a `hidden beast` number, since 1 + 21 + 0 + 1 + 222 + 201 + 220 + 0 = 666.

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

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, 1566117967 + ... + 1566195233.

It is an arithmetic number, because the mean of its divisors is an integer number (573301999125).

Almost surely, 2^{121012222012200} is an apocalyptic number.

121012222012200 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 121012222012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147967664000).

121012222012200 is an abundant number, since it is smaller than the sum of its proper divisors (319283713315800).

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

121012222012200 is a wasteful number, since it uses less digits than its factorization.

121012222012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77531 (or 77516 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121012222012200 its reverse (2210222210121), we get a palindrome (123222444222321).

The spelling of 121012222012200 in words is "one hundred twenty-one trillion, twelve billion, two hundred twenty-two million, twelve thousand, two hundred".