121211112100000 has 576 divisors, whose sum is σ = 324288962865504. Its totient is φ = 44328960000000.

The previous prime is 121211112099989. The next prime is 121211112100007. The reversal of 121211112100000 is 1211112121.

It is a happy number.

It can be written as a sum of positive squares in 48 ways, for example, as 120990584183184 + 220527916816 = 10999572^2 + 469604^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (121211112100007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81844099260 + ... + 81844100740.

Almost surely, 2^{121211112100000} is an apocalyptic number.

121211112100000 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 121211112100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162144481432752).

121211112100000 is an abundant number, since it is smaller than the sum of its proper divisors (203077850765504).

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

121211112100000 is a wasteful number, since it uses less digits than its factorization.

121211112100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 121211112100000 its reverse (1211112121), we get a palindrome (121212323212121).

The spelling of 121211112100000 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred twelve million, one hundred thousand".