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121033400404 = 22724785715331
BaseRepresentation
bin111000010111000100…
…1110010000001010100
3102120102000200210100111
41300232021302001110
53440334022303104
6131334005452404
711513214633400
oct1605611620124
9376360623314
10121033400404
114736a221144
121b559a11104
13b54b31a1b7
145c026aa100
153235a83404
hex1c2e272054

121033400404 has 72 divisors (see below), whose sum is σ = 251941802112. Its totient is φ = 50705262720.

The previous prime is 121033400401. The next prime is 121033400417. The reversal of 121033400404 is 404004330121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121033400401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7887019 + ... + 7902349.

It is an arithmetic number, because the mean of its divisors is an integer number (3499191696).

Almost surely, 2121033400404 is an apocalyptic number.

121033400404 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 121033400404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125970901056).

121033400404 is an abundant number, since it is smaller than the sum of its proper divisors (130908401708).

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

121033400404 is a wasteful number, since it uses less digits than its factorization.

121033400404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16253 (or 16244 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 121033400404 its reverse (404004330121), we get a palindrome (525037730525).

The spelling of 121033400404 in words is "one hundred twenty-one billion, thirty-three million, four hundred thousand, four hundred four".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 329 658 857 1316 1714 2303 3428 4606 5999 9212 11998 15331 23996 30662 40279 41993 61324 80558 83986 107317 161116 167972 214634 281953 429268 563906 720557 751219 1127812 1441114 1502438 1973671 2882228 3004876 3947342 5043899 7894684 10087798 13138667 20175596 26277334 35307293 52554668 70614586 91970669 141229172 183941338 367882676 617517349 643794683 1235034698 1287589366 2470069396 2575178732 4322621443 8645242886 17290485772 30258350101 60516700202 121033400404