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122000101222120 = 235111103676137181
BaseRepresentation
bin11011101111010101011100…
…101100100010011011101000
3120222222002120211002111112221
4123233111130230202123220
5111442322201403101440
61111250023415243424
734461134145104362
oct3357253454423350
9528862524074487
10122000101222120
1135966a52670740
121182452b079574
13530c738941b94
14221ab9d14bd32
15e18781479d4a
hex6ef55cb226e8

122000101222120 has 128 divisors (see below), whose sum is σ = 299778679226880. Its totient is φ = 44315704576000.

The previous prime is 122000101222117. The next prime is 122000101222151. The reversal of 122000101222120 is 21222101000221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122000101222094 and 122000101222103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3281229930 + ... + 3281267110.

It is an arithmetic number, because the mean of its divisors is an integer number (2342020931460).

Almost surely, 2122000101222120 is an apocalyptic number.

122000101222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122000101222120 is an abundant number, since it is smaller than the sum of its proper divisors (177778578004760).

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

122000101222120 is a wasteful number, since it uses less digits than its factorization.

122000101222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45067 (or 45063 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122000101222120 its reverse (21222101000221), we get a palindrome (143222202222341).

It can be divided in two parts, 122000101 and 222120, that added together give a palindrome (122222221).

The spelling of 122000101222120 in words is "one hundred twenty-two trillion, one hundred one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1103 2206 4412 5515 6761 8824 11030 12133 13522 22060 24266 27044 33805 37181 44120 48532 54088 60665 67610 74362 74371 97064 121330 135220 148724 148742 185905 242660 270440 297448 297484 371810 371855 408991 485320 594968 743620 743710 817982 1487240 1487420 1635964 2044955 2974840 3271928 4089910 7457383 8179820 14914766 16359640 29829532 37286915 41010643 59659064 74573830 82021286 82031213 149147660 164042572 164062426 205053215 251380741 298295320 328085144 328124852 410106430 410156065 451117073 502761482 656249704 820212860 820312130 902234146 1005522964 1256903705 1640425720 1640624260 1804468292 2011045928 2255585365 2513807410 2765188151 3281248520 3608936584 4511170730 5027614820 5530376302 9022341460 10055229640 11060752604 13825940755 18044682920 22121505208 27651881510 55303763020 110607526040 277272957323 554545914646 1109091829292 1386364786615 2218183658584 2772729573230 3050002530553 5545459146460 6100005061106 11090918292920 12200010122212 15250012652765 24400020244424 30500025305530 61000050611060 122000101222120