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122220414044 = 22292534611487
BaseRepresentation
bin111000111010011100…
…1111000010001011100
3102200110202021022221122
41301310321320101130
54000301411222134
6132051451350112
711554510243511
oct1616471702134
9380422238848
10122220414044
1147919268053
121b82b452338
13b6aa215731
145cb61b9308
1532a4da602e
hex1c74e7845c

122220414044 has 72 divisors (see below), whose sum is σ = 226336638528. Its totient is φ = 57725274880.

The previous prime is 122220414013. The next prime is 122220414053. The reversal of 122220414044 is 440414022221.

It is a happy number.

It is a super-3 number, since 3×1222204140443 (a number of 34 digits) contains 333 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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82191869 + ... + 82193355.

It is an arithmetic number, because the mean of its divisors is an integer number (3143564424).

Almost surely, 2122220414044 is an apocalyptic number.

It is an amenable number.

122220414044 is a deficient number, since it is larger than the sum of its proper divisors (104116224484).

122220414044 is a wasteful number, since it uses less digits than its factorization.

122220414044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 122220414044 its reverse (440414022221), we get a palindrome (562634436265).

The spelling of 122220414044 in words is "one hundred twenty-two billion, two hundred twenty million, four hundred fourteen thousand, forty-four".

Divisors: 1 2 4 29 53 58 106 116 212 461 841 922 1487 1537 1682 1844 2974 3074 3364 5948 6148 13369 24433 26738 43123 44573 48866 53476 78811 86246 89146 97732 157622 172492 178292 315244 387701 685507 708557 775402 1250567 1371014 1417114 1550804 2285519 2501134 2742028 2834228 4571038 5002268 9142076 19879703 20548153 36331871 39759406 41096306 66280051 72663742 79518812 82192612 132560102 145327484 265120204 576511387 1053624259 1153022774 2107248518 2306045548 4214497036 30555103511 61110207022 122220414044