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122002121120 = 25511174077611
BaseRepresentation
bin111000110011111100…
…1001010000110100000
3102122220112111220100112
41301213321022012200
53444330020333440
6132014052510452
711546216630135
oct1614771120640
9378815456315
10122002121120
1147817020380
121b78a31b428
13b673c25019
145c951d458c
153290b36965
hex1c67e4a1a0

122002121120 has 96 divisors (see below), whose sum is σ = 332928864576. Its totient is φ = 41754726400.

The previous prime is 122002121119. The next prime is 122002121123. The reversal of 122002121120 is 21121200221.

It is a junction number, because it is equal to n+sod(n) for n = 122002121095 and 122002121104.

It is not an unprimeable number, because it can be changed into a prime (122002121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2008886 + ... + 2068725.

It is an arithmetic number, because the mean of its divisors is an integer number (3468009006).

Almost surely, 2122002121120 is an apocalyptic number.

122002121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002121120 is an abundant number, since it is smaller than the sum of its proper divisors (210926743456).

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

122002121120 is a wasteful number, since it uses less digits than its factorization.

122002121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077654 (or 4077646 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122002121120 its reverse (21121200221), we get a palindrome (143123321341).

The spelling of 122002121120 in words is "one hundred twenty-two billion, two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 5984 7480 14960 29920 4077611 8155222 16310444 20388055 32620888 40776110 44853721 65241776 69319387 81552220 89707442 130483552 138638774 163104440 179414884 224268605 277277548 326208880 346596935 358829768 448537210 554555096 652417760 693193870 717659536 762513257 897074420 1109110192 1386387740 1435319072 1525026514 1794148840 2218220384 2772775480 3050053028 3588297680 3812566285 5545550960 6100106056 7176595360 7625132570 11091101920 12200212112 15250265140 24400424224 30500530280 61001060560 122002121120