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20122013120 = 2651123712411
BaseRepresentation
bin10010101111010111…
…011000110111000000
31220221100010011210012
4102233113120313000
5312202213404440
613124404324052
71311433201166
oct225727306700
956840104705
1020122013120
118596396310
123a969a3628
131b88a57c51
14d8c5a7236
157cb81ce65
hex4af5d8dc0

20122013120 has 112 divisors (see below), whose sum is σ = 52315238016. Its totient is φ = 7310976000.

The previous prime is 20122013117. The next prime is 20122013159. The reversal of 20122013120 is 2131022102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20122013095 and 20122013104.

It is a congruent number.

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, 8344715 + ... + 8347125.

Almost surely, 220122013120 is an apocalyptic number.

20122013120 is a gapful number since it is divisible by the number (20) 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 20122013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26157619008).

20122013120 is an abundant number, since it is smaller than the sum of its proper divisors (32193224896).

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

20122013120 is a wasteful number, since it uses less digits than its factorization.

20122013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4810 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20122013120 its reverse (2131022102), we get a palindrome (22253035222).

The spelling of 20122013120 in words is "twenty billion, one hundred twenty-two million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 2371 2411 3520 4742 4822 9484 9644 11855 12055 18968 19288 23710 24110 26081 26521 37936 38576 47420 48220 52162 53042 75872 77152 94840 96440 104324 106084 130405 132605 151744 154304 189680 192880 208648 212168 260810 265210 379360 385760 417296 424336 521620 530420 758720 771520 834592 848672 1043240 1060840 1669184 1697344 2086480 2121680 4172960 4243360 5716481 8345920 8486720 11432962 22865924 28582405 45731848 57164810 62881291 91463696 114329620 125762582 182927392 228659240 251525164 314406455 365854784 457318480 503050328 628812910 914636960 1006100656 1257625820 1829273920 2012201312 2515251640 4024402624 5030503280 10061006560 20122013120