121711912200 has 180 divisors, whose sum is σ = 422877781095. Its totient is φ = 32444668800.

The previous prime is 121711912183. The next prime is 121711912207. The reversal of 121711912200 is 2219117121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 21452289156 + 100259623044 = 146466^2 + 316638^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=246690.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121711912207) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44402830 + ... + 44405570.

Almost surely, 2^121711912200 is an apocalyptic number.

121711912200 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 121711912200

121711912200 is an abundant number, since it is smaller than the sum of its proper divisors (301165868895).

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

121711912200 is an frugal number, since it uses more digits than its factorization.

121711912200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 121711912200 in words is "one hundred twenty-one billion, seven hundred eleven million, nine hundred twelve thousand, two hundred".