1204404402124 has 288 divisors, whose sum is σ = 2965165346304. Its totient is φ = 421017569280.

The previous prime is 1204404402067. The next prime is 1204404402137. The reversal of 1204404402124 is 4212044044021.

It is a happy number.

It is a super-2 number, since 2×1204404402124² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1204404402092 and 1204404402101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267227479 + ... + 267231985.

It is an arithmetic number, because the mean of its divisors is an integer number (10295713008).

Almost surely, 2^{1204404402124} is an apocalyptic number.

1204404402124 is a gapful number since it is divisible by the number (14) 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 1204404402124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482582673152).

1204404402124 is an abundant number, since it is smaller than the sum of its proper divisors (1760760944180).

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

1204404402124 is a wasteful number, since it uses less digits than its factorization.

1204404402124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4893 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 1204404402124 its reverse (4212044044021), we get a palindrome (5416448446145).

It can be divided in two parts, 1204404 and 402124, that added together give a triangular number (1606528 = T₁₇₉₂).

The spelling of 1204404402124 in words is "one trillion, two hundred four billion, four hundred four million, four hundred two thousand, one hundred twenty-four".