121111002210000 has 800 divisors, whose sum is σ = 438358400409600. Its totient is φ = 28545419520000.

The previous prime is 121111002209969. The next prime is 121111002210017. The reversal of 121111002210000 is 12200111121.

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 159 ways as a sum of consecutive naturals, for example, 21477387181 + ... + 21477392819.

It is an arithmetic number, because the mean of its divisors is an integer number (547948000512).

Almost surely, 2^{121111002210000} is an apocalyptic number.

121111002210000 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 121111002210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219179200204800).

121111002210000 is an abundant number, since it is smaller than the sum of its proper divisors (317247398199600).

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

121111002210000 is a wasteful number, since it uses less digits than its factorization.

121111002210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7477 (or 7456 counting only the distinct ones).

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

Adding to 121111002210000 its reverse (12200111121), we get a palindrome (121123202321121).

The spelling of 121111002210000 in words is "one hundred twenty-one trillion, one hundred eleven billion, two million, two hundred ten thousand".