70212110400 has 252 divisors, whose sum is σ = 254261680452. Its totient is φ = 18369761280.

The previous prime is 70212110393. The next prime is 70212110407. The reversal of 70212110400 is 401121207.

It is an interprime number because it is at equal distance from previous prime (70212110393) and next prime (70212110407).

It can be written as a sum of positive squares in 6 ways, for example, as 46457856 + 70165652544 = 6816^2 + 264888^2 .

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

It is not an unprimeable number, because it can be changed into a prime (70212110407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 717202 + ... + 809198.

Almost surely, 2^70212110400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70212110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127130840226).

70212110400 is an abundant number, since it is smaller than the sum of its proper divisors (184049570052).

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

70212110400 is a wasteful number, since it uses less digits than its factorization.

70212110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92078 (or 92060 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 70212110400 its reverse (401121207), we get a palindrome (70613231607).

The spelling of 70212110400 in words is "seventy billion, two hundred twelve million, one hundred ten thousand, four hundred".