123145010400 has 144 divisors (see below), whose sum is σ = 405911520000. Its totient is φ = 32422940160.

The previous prime is 123145010383. The next prime is 123145010411. The reversal of 123145010400 is 4010541321.

It is a super-2 number, since 2×123145010400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135150 + ... + 514349.

It is an arithmetic number, because the mean of its divisors is an integer number (2818830000).

Almost surely, 2^123145010400 is an apocalyptic number.

123145010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123145010400 is an abundant number, since it is smaller than the sum of its proper divisors (282766509600).

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

123145010400 is a wasteful number, since it uses less digits than its factorization.

123145010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649601 (or 649588 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 123145010400 its reverse (4010541321), we get a palindrome (127155551721).

The spelling of 123145010400 in words is "one hundred twenty-three billion, one hundred forty-five million, ten thousand, four hundred".