121213110310000 has 100 divisors (see below), whose sum is σ = 293535910872072. Its totient is φ = 48474199648000.

The previous prime is 121213110309997. The next prime is 121213110310009. The reversal of 121213110310000 is 13011312121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×121213110310000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121213110310009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42591639 + ... + 45348361.

Almost surely, 2^{121213110310000} is an apocalyptic number.

121213110310000 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 121213110310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146767955436036).

121213110310000 is an abundant number, since it is smaller than the sum of its proper divisors (172322800562072).

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

121213110310000 is an equidigital number, since it uses as much as digits as its factorization.

121213110310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761148 (or 2761127 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 121213110310000 its reverse (13011312121), we get a palindrome (121226121622121).

The spelling of 121213110310000 in words is "one hundred twenty-one trillion, two hundred thirteen billion, one hundred ten million, three hundred ten thousand".