145212522120 has 256 divisors, whose sum is σ = 497667456000. Its totient is φ = 37635591168.

The previous prime is 145212522047. The next prime is 145212522127. The reversal of 145212522120 is 21225212541.

145212522120 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 12 + 522 + 120 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (145212522127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57101569 + ... + 57104111.

It is an arithmetic number, because the mean of its divisors is an integer number (1944013500).

Almost surely, 2^145212522120 is an apocalyptic number.

145212522120 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 145212522120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248833728000).

145212522120 is an abundant number, since it is smaller than the sum of its proper divisors (352454933880).

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

145212522120 is a wasteful number, since it uses less digits than its factorization.

145212522120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4029 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 145212522120 its reverse (21225212541), we get a palindrome (166437734661).

The spelling of 145212522120 in words is "one hundred forty-five billion, two hundred twelve million, five hundred twenty-two thousand, one hundred twenty".