120206150064 has 1600 divisors, whose sum is σ = 500101324800. Its totient is φ = 27433728000.

The previous prime is 120206150059. The next prime is 120206150089. The reversal of 120206150064 is 460051602021.

120206150064 = T₂₄₅ + T₂₄₆ + ... + T₈₉₆₇.

120206150064 is a `hidden beast` number, since 1 + 20 + 20 + 61 + 500 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1970592594 + ... + 1970592654.

It is an arithmetic number, because the mean of its divisors is an integer number (312563328).

Almost surely, 2^120206150064 is an apocalyptic number.

120206150064 is a gapful number since it is divisible by the number (14) 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 120206150064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250050662400).

120206150064 is an abundant number, since it is smaller than the sum of its proper divisors (379895174736).

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

120206150064 is a wasteful number, since it uses less digits than its factorization.

120206150064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 120206150064 its reverse (460051602021), we get a palindrome (580257752085).

The spelling of 120206150064 in words is "one hundred twenty billion, two hundred six million, one hundred fifty thousand, sixty-four".