102412431314040 has 128 divisors (see below), whose sum is σ = 320257880870400. Its totient is φ = 26166973647360.

The previous prime is 102412431314021. The next prime is 102412431314059. The reversal of 102412431314040 is 40413134214201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102412431314021) and next prime (102412431314059).

It is a super-2 number, since 2×102412431314040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 102412431313989 and 102412431314007.

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, 111868012 + ... + 112779771.

It is an arithmetic number, because the mean of its divisors is an integer number (2502014694300).

Almost surely, 2^{102412431314040} is an apocalyptic number.

102412431314040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102412431314040 is an abundant number, since it is smaller than the sum of its proper divisors (217845449556360).

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

102412431314040 is a wasteful number, since it uses less digits than its factorization.

102412431314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224647957 (or 224647953 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 102412431314040 its reverse (40413134214201), we get a palindrome (142825565528241).

The spelling of 102412431314040 in words is "one hundred two trillion, four hundred twelve billion, four hundred thirty-one million, three hundred fourteen thousand, forty".