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122020000121120 = 2551679474822193
BaseRepresentation
bin11011101111100111111110…
…110000110100000100100000
3121000000222221121101022022012
4123233213332300310010200
5111443133430012333440
61111303114133532052
734462440232002233
oct3357477660640440
9530028847338265
10122020000121120
1135974434017012
12118283631a4028
13531158a3abb2a
14221bb29c3741a
15e190483c4e65
hex6ef9fec34120

122020000121120 has 96 divisors (see below), whose sum is σ = 290304720171648. Its totient is φ = 48464495546368.

The previous prime is 122020000121083. The next prime is 122020000121147. The reversal of 122020000121120 is 21121000020221.

It is a junction number, because it is equal to n+sod(n) for n = 122020000121095 and 122020000121104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22892744 + ... + 27714936.

It is an arithmetic number, because the mean of its divisors is an integer number (3024007501788).

Almost surely, 2122020000121120 is an apocalyptic number.

122020000121120 is a gapful number since it is divisible by the number (10) 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 122020000121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152360085824).

122020000121120 is an abundant number, since it is smaller than the sum of its proper divisors (168284720050528).

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

122020000121120 is a wasteful number, since it uses less digits than its factorization.

122020000121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823322 (or 4823314 counting only the distinct ones).

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

Adding to 122020000121120 its reverse (21121000020221), we get a palindrome (143141000141341).

The spelling of 122020000121120 in words is "one hundred twenty-two trillion, twenty billion, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 167 334 668 835 947 1336 1670 1894 2672 3340 3788 4735 5344 6680 7576 9470 13360 15152 18940 26720 30304 37880 75760 151520 158149 316298 632596 790745 1265192 1581490 2530384 3162980 4822193 5060768 6325960 9644386 12651920 19288772 24110965 25303840 38577544 48221930 77155088 96443860 154310176 192887720 385775440 771550880 805306231 1610612462 3221224924 4026531155 4566616771 6442449848 8053062310 9133233542 12884899696 16106124620 18266467084 22833083855 25769799392 32212249240 36532934168 45666167710 64424498480 73065868336 91332335420 128848996960 146131736672 182664670840 365329341680 730658683360 762625000757 1525250001514 3050500003028 3813125003785 6101000006056 7626250007570 12202000012112 15252500015140 24404000024224 30505000030280 61010000060560 122020000121120