45301212000 has 576 divisors, whose sum is σ = 176866260480. Its totient is φ = 10889856000.

The previous prime is 45301211993. The next prime is 45301212001. The reversal of 45301212000 is 21210354.

45301212000 is a `hidden beast` number, since 4 + 530 + 12 + 120 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45301212001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55043589 + ... + 55044411.

It is an arithmetic number, because the mean of its divisors is an integer number (307059480).

Almost surely, 2^45301212000 is an apocalyptic number.

45301212000 is a gapful number since it is divisible by the number (40) 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 45301212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88433130240).

45301212000 is an abundant number, since it is smaller than the sum of its proper divisors (131565048480).

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

45301212000 is a wasteful number, since it uses less digits than its factorization.

45301212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 45301212000 its reverse (21210354), we get a palindrome (45322422354).

The spelling of 45301212000 in words is "forty-five billion, three hundred one million, two hundred twelve thousand".