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122111020404 = 223210133583889
BaseRepresentation
bin111000110111001100…
…0100100110101110100
3102200012010102120002100
41301232120210311310
54000040410123104
6132032542542100
711552011355562
oct1615630446564
9380163376070
10122111020404
114787253aa8a
121b7ba897930
13b690663379
145ca5860a32
15329a498139
hex1c6e624d74

122111020404 has 36 divisors (see below), whose sum is σ = 311725666980. Its totient is φ = 40300665600.

The previous prime is 122111020397. The next prime is 122111020459. The reversal of 122111020404 is 404020111221.

It can be written as a sum of positive squares in 2 ways, for example, as 62726204304 + 59384816100 = 250452^2 + 243690^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1221110204042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 16788309 + ... + 16795580.

It is an arithmetic number, because the mean of its divisors is an integer number (8659046305).

Almost surely, 2122111020404 is an apocalyptic number.

It is an amenable number.

122111020404 is an abundant number, since it is smaller than the sum of its proper divisors (189614646576).

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

122111020404 is a wasteful number, since it uses less digits than its factorization.

122111020404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33584000 (or 33583995 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122111020404 its reverse (404020111221), we get a palindrome (526131131625).

The spelling of 122111020404 in words is "one hundred twenty-two billion, one hundred eleven million, twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 33583889 67167778 100751667 134335556 201503334 302255001 403006668 604510002 1209020004 3391972789 6783945578 10175918367 13567891156 20351836734 30527755101 40703673468 61055510202 122111020404