120101431200 has 288 divisors, whose sum is σ = 409001322240. Its totient is φ = 30579916800.

The previous prime is 120101431141. The next prime is 120101431201. The reversal of 120101431200 is 2134101021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120101431200.

It is not an unprimeable number, because it can be changed into a prime (120101431201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4611816 + ... + 4637784.

It is an arithmetic number, because the mean of its divisors is an integer number (1420143480).

Almost surely, 2^120101431200 is an apocalyptic number.

120101431200 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 120101431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204500661120).

120101431200 is an abundant number, since it is smaller than the sum of its proper divisors (288899891040).

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

120101431200 is a wasteful number, since it uses less digits than its factorization.

120101431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26080 (or 26067 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120101431200 its reverse (2134101021), we get a palindrome (122235532221).

The spelling of 120101431200 in words is "one hundred twenty billion, one hundred one million, four hundred thirty-one thousand, two hundred".