1200123121032 has 384 divisors, whose sum is σ = 3717185472000. Its totient is φ = 346602654720.

The previous prime is 1200123121027. The next prime is 1200123121079. The reversal of 1200123121032 is 2301213210021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1200123120996 and 1200123121014.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279291108 + ... + 279295404.

It is an arithmetic number, because the mean of its divisors is an integer number (9680170500).

Almost surely, 2^{1200123121032} is an apocalyptic number.

1200123121032 is a gapful number since it is divisible by the number (12) 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 1200123121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858592736000).

1200123121032 is an abundant number, since it is smaller than the sum of its proper divisors (2517062350968).

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

1200123121032 is a wasteful number, since it uses less digits than its factorization.

1200123121032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4561 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1200123121032 its reverse (2301213210021), we get a palindrome (3501336331053).

The spelling of 1200123121032 in words is "one trillion, two hundred billion, one hundred twenty-three million, one hundred twenty-one thousand, thirty-two".