1204414220100 has 576 divisors, whose sum is σ = 4596101830656. Its totient is φ = 236280913920.

The previous prime is 1204414220089. The next prime is 1204414220143. The reversal of 1204414220100 is 10224144021.

It is a super-2 number, since 2×1204414220100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38504667 + ... + 38535933.

It is an arithmetic number, because the mean of its divisors is an integer number (7979343456).

Almost surely, 2^{1204414220100} is an apocalyptic number.

1204414220100 is a gapful number since it is divisible by the number (10) 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 1204414220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298050915328).

1204414220100 is an abundant number, since it is smaller than the sum of its proper divisors (3391687610556).

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

1204414220100 is a wasteful number, since it uses less digits than its factorization.

1204414220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31404 (or 31397 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 1204414220100 its reverse (10224144021), we get a palindrome (1214638364121).

The spelling of 1204414220100 in words is "one trillion, two hundred four billion, four hundred fourteen million, two hundred twenty thousand, one hundred".