212601045144 has 128 divisors (see below), whose sum is σ = 571764614400. Its totient is φ = 65639792640.

The previous prime is 212601045131. The next prime is 212601045157. The reversal of 212601045144 is 441540106212.

It is an interprime number because it is at equal distance from previous prime (212601045131) and next prime (212601045157).

It is a super-2 number, since 2×212601045144² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7069099 + ... + 7099109.

It is an arithmetic number, because the mean of its divisors is an integer number (4466911050).

Almost surely, 2^212601045144 is an apocalyptic number.

212601045144 is a gapful number since it is divisible by the number (24) 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 212601045144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285882307200).

212601045144 is an abundant number, since it is smaller than the sum of its proper divisors (359163569256).

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

212601045144 is a wasteful number, since it uses less digits than its factorization.

212601045144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30313 (or 30309 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 212601045144 in words is "two hundred twelve billion, six hundred one million, forty-five thousand, one hundred forty-four".