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20012201111120 = 2454313274383949
BaseRepresentation
bin1001000110011011101000…
…01000110110111001010000
32121212010222201000011121012
410203031310020312321100
510110334441441023440
6110321251150150052
74133555666531261
oct443156410667120
977763881004535
1020012201111120
1164161438a0449
1222b25b97b2328
13b221b100150a
144d284a86a968
1524a86b0cee65
hex123374236e50

20012201111120 has 80 divisors (see below), whose sum is σ = 47646311750400. Its totient is φ = 7812826624512.

The previous prime is 20012201111099. The next prime is 20012201111131. The reversal of 20012201111120 is 2111110221002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 20012201111095 and 20012201111104.

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, 2372906 + ... + 6756854.

It is an arithmetic number, because the mean of its divisors is an integer number (595578896880).

Almost surely, 220012201111120 is an apocalyptic number.

20012201111120 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 20012201111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23823155875200).

20012201111120 is an abundant number, since it is smaller than the sum of its proper divisors (27634110639280).

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

20012201111120 is a wasteful number, since it uses less digits than its factorization.

20012201111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385332 (or 4385326 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20012201111120 its reverse (2111110221002), we get a palindrome (22123311332122).

The spelling of 20012201111120 in words is "twenty trillion, twelve billion, two hundred one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1327 1720 2654 3440 5308 6635 10616 13270 21232 26540 53080 57061 106160 114122 228244 285305 456488 570610 912976 1141220 2282440 4383949 4564880 8767898 17535796 21919745 35071592 43839490 70143184 87678980 175357960 188509807 350715920 377019614 754039228 942549035 1508078456 1885098070 3016156912 3770196140 5817500323 7540392280 11635000646 15080784560 23270001292 29087501615 46540002584 58175003230 93080005168 116350006460 232700012920 250152513889 465400025840 500305027778 1000610055556 1250762569445 2001220111112 2501525138890 4002440222224 5003050277780 10006100555560 20012201111120