103233120121120 has 192 divisors, whose sum is σ = 266852007346176. Its totient is φ = 37427628026880.

The previous prime is 103233120121093. The next prime is 103233120121123. The reversal of 103233120121120 is 21121021332301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 103233120121091 and 103233120121100.

It is not an unprimeable number, because it can be changed into a prime (103233120121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1946042437 + ... + 1946095483.

It is an arithmetic number, because the mean of its divisors is an integer number (1389854204928).

Almost surely, 2^{103233120121120} is an apocalyptic number.

103233120121120 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 103233120121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133426003673088).

103233120121120 is an abundant number, since it is smaller than the sum of its proper divisors (163618887225056).

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

103233120121120 is a wasteful number, since it uses less digits than its factorization.

103233120121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56343 (or 56335 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 103233120121120 its reverse (21121021332301), we get a palindrome (124354141453421).

The spelling of 103233120121120 in words is "one hundred three trillion, two hundred thirty-three billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty".