102264120000 has 1120 divisors, whose sum is σ = 437248035840. Its totient is φ = 23234688000.

The previous prime is 102264119999. The next prime is 102264120113. The reversal of 102264120000 is 21462201.

102264120000 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 641 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 612359917 + ... + 612360083.

It is an arithmetic number, because the mean of its divisors is an integer number (390400032).

Almost surely, 2^102264120000 is an apocalyptic number.

102264120000 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 102264120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218624017920).

102264120000 is an abundant number, since it is smaller than the sum of its proper divisors (334983915840).

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

102264120000 is an frugal number, since it uses more digits than its factorization.

102264120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102264120000 its reverse (21462201), we get a palindrome (102285582201).

The spelling of 102264120000 in words is "one hundred two billion, two hundred sixty-four million, one hundred twenty thousand".