12122101121032 has 128 divisors (see below), whose sum is σ = 26668358196480. Its totient is φ = 5057275392000.

The previous prime is 12122101121029. The next prime is 12122101121047. The reversal of 12122101121032 is 23012110122121.

It is a super-2 number, since 2×12122101121032² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2304141282 + ... + 2304146542.

It is an arithmetic number, because the mean of its divisors is an integer number (208346548410).

Almost surely, 2^{12122101121032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122101121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13334179098240).

12122101121032 is an abundant number, since it is smaller than the sum of its proper divisors (14546257075448).

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

12122101121032 is a wasteful number, since it uses less digits than its factorization.

12122101121032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7343 (or 7339 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 12122101121032 its reverse (23012110122121), we get a palindrome (35134211243153).

It can be divided in two parts, 1212 and 2101121032, that added together give a square (2101122244 = 45838²).

The spelling of 12122101121032 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, thirty-two".