412114001102120 has 32 divisors (see below), whose sum is σ = 927260733709800. Its totient is φ = 164844848222208.

The previous prime is 412114001102117. The next prime is 412114001102159. The reversal of 412114001102120 is 21201100411214.

It can be written as a sum of positive squares in 4 ways, for example, as 292693997323204 + 119420003778916 = 17108302^2 + 10927946^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 412114001102092 and 412114001102101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14589665 + ... + 32203824.

Almost surely, 2^{412114001102120} is an apocalyptic number.

412114001102120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412114001102120 is an abundant number, since it is smaller than the sum of its proper divisors (515146732607680).

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

412114001102120 is a wasteful number, since it uses less digits than its factorization.

412114001102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47013677 (or 47013673 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 412114001102120 its reverse (21201100411214), we get a palindrome (433315101513334).

The spelling of 412114001102120 in words is "four hundred twelve trillion, one hundred fourteen billion, one million, one hundred two thousand, one hundred twenty".