150222798210240 has 896 divisors, whose sum is σ = 613382133964800. Its totient is φ = 34322939523072.

The previous prime is 150222798210227. The next prime is 150222798210253. The reversal of 150222798210240 is 42012897222051.

150222798210240 is a `hidden beast` number, since 1 + 50 + 2 + 2 + 279 + 82 + 10 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (150222798210227) and next prime (150222798210253).

It is a super-2 number, since 2×150222798210240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17229356601 + ... + 17229365319.

Almost surely, 2^{150222798210240} is an apocalyptic number.

150222798210240 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 150222798210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306691066982400).

150222798210240 is an abundant number, since it is smaller than the sum of its proper divisors (463159335754560).

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

150222798210240 is an frugal number, since it uses more digits than its factorization.

150222798210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12281 (or 12253 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 150222798210240 in words is "one hundred fifty trillion, two hundred twenty-two billion, seven hundred ninety-eight million, two hundred ten thousand, two hundred forty".