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20220121220112 = 24321170451181193
BaseRepresentation
bin1001001100011110111010…
…01001001000010000010000
32122121000200000101002010200
410212033131021020100100
510122241302013020422
6111000555003455200
74154566311355122
oct446173511102020
978530600332120
1020220121220112
11649633a322770
122326965827500
13b38998140bc8
144dc93277b212
15250e89a1d2ac
hex1263dd248410

20220121220112 has 120 divisors (see below), whose sum is σ = 61733859771168. Its totient is φ = 6127188672000.

The previous prime is 20220121220081. The next prime is 20220121220149. The reversal of 20220121220112 is 21102212102202.

It is a happy number.

20220121220112 is a `hidden beast` number, since 20 + 220 + 1 + 212 + 201 + 12 = 666.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 111503788 + ... + 111684980.

Almost surely, 220220121220112 is an apocalyptic number.

20220121220112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20220121220112 is an abundant number, since it is smaller than the sum of its proper divisors (41513738551056).

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

20220121220112 is a wasteful number, since it uses less digits than its factorization.

20220121220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251669 (or 251660 counting only the distinct ones).

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

Adding to 20220121220112 its reverse (21102212102202), we get a palindrome (41322333322314).

The spelling of 20220121220112 in words is "twenty trillion, two hundred twenty billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 70451 140902 181193 211353 281804 362386 422706 543579 563608 634059 724772 774961 845412 1087158 1127216 1268118 1449544 1549922 1630737 1690824 1993123 2174316 2324883 2536236 2899088 3099844 3261474 3381648 3986246 4348632 4649766 5072472 5979369 6199688 6522948 6974649 7972492 8697264 9299532 10144944 11958738 12399376 13045896 13949298 15944984 17938107 18599064 23917476 26091792 27898596 31889968 35876214 37198128 47834952 55797192 71752428 95669904 111594384 143504856 287009712 12765228043 25530456086 38295684129 51060912172 76591368258 102121824344 114887052387 140417508473 153182736516 204243648688 229774104774 280835016946 306365473032 421252525419 459548209548 561670033892 612730946064 842505050838 919096419096 1123340067784 1263757576257 1685010101676 1838192838192 2246680135568 2527515152514 3370020203352 5055030305028 6740040406704 10110060610056 20220121220112