400212333003120 has 160 divisors (see below), whose sum is σ = 1433059776518400. Its totient is φ = 91314043883520.

The previous prime is 400212333003061. The next prime is 400212333003179. The reversal of 400212333003120 is 21300333212004.

It is an interprime number because it is at equal distance from previous prime (400212333003061) and next prime (400212333003179).

It is a super-2 number, since 2×400212333003120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4458648670 + ... + 4458738429.

It is an arithmetic number, because the mean of its divisors is an integer number (8956623603240).

Almost surely, 2^{400212333003120} is an apocalyptic number.

400212333003120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400212333003120 is an abundant number, since it is smaller than the sum of its proper divisors (1032847443515280).

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

400212333003120 is a wasteful number, since it uses less digits than its factorization.

400212333003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8917387143 (or 8917387137 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 400212333003120 its reverse (21300333212004), we get a palindrome (421512666215124).

The spelling of 400212333003120 in words is "four hundred trillion, two hundred twelve billion, three hundred thirty-three million, three thousand, one hundred twenty".