153221200000 has 384 divisors, whose sum is σ = 421679260800. Its totient is φ = 54988800000.

The previous prime is 153221199997. The next prime is 153221200007. The reversal of 153221200000 is 2122351.

It is a super-2 number, since 2×153221200000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (153221200007) 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 47 ways as a sum of consecutive naturals, for example, 426799821 + ... + 426800179.

It is an arithmetic number, because the mean of its divisors is an integer number (1098123075).

Almost surely, 2^153221200000 is an apocalyptic number.

153221200000 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 153221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210839630400).

153221200000 is an abundant number, since it is smaller than the sum of its proper divisors (268458060800).

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

153221200000 is an frugal number, since it uses more digits than its factorization.

153221200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 153221200000 its reverse (2122351), we get a palindrome (153223322351).

The spelling of 153221200000 in words is "one hundred fifty-three billion, two hundred twenty-one million, two hundred thousand".