102222600480 has 1728 divisors, whose sum is σ = 494261792640. Its totient is φ = 19543265280.

The previous prime is 102222600463. The next prime is 102222600481. The reversal of 102222600480 is 84006222201.

It is a happy number.

102222600480 is a `hidden beast` number, since 10 + 2 + 2 + 2 + 2 + 600 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222600481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 332972487 + ... + 332972793.

It is an arithmetic number, because the mean of its divisors is an integer number (286031130).

Almost surely, 2^102222600480 is an apocalyptic number.

102222600480 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 102222600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247130896320).

102222600480 is an abundant number, since it is smaller than the sum of its proper divisors (392039192160).

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

102222600480 is a wasteful number, since it uses less digits than its factorization.

102222600480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102222600480 its reverse (84006222201), we get a palindrome (186228822681).

The spelling of 102222600480 in words is "one hundred two billion, two hundred twenty-two million, six hundred thousand, four hundred eighty".