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1102200122120 = 235237949930391
BaseRepresentation
bin10000000010100000001…
…111110010101100001000
310220100222012222112220012
4100002200033302230020
5121024301212401440
62202202125451052
7142426355312516
oct20024017625410
93810865875805
101102200122120
11395493264339
12159744710a88
137cc24850396
143b4bd7774b6
151da0dbe3e65
hex100a03f2b08

1102200122120 has 128 divisors (see below), whose sum is σ = 2625868800000. Its totient is φ = 415525144320.

The previous prime is 1102200122033. The next prime is 1102200122131. The reversal of 1102200122120 is 212210022011.

It is a junction number, because it is equal to n+sod(n) for n = 1102200122095 and 1102200122104.

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, 36252125 + ... + 36282515.

It is an arithmetic number, because the mean of its divisors is an integer number (20514600000).

Almost surely, 21102200122120 is an apocalyptic number.

1102200122120 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 1102200122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312934400000).

1102200122120 is an abundant number, since it is smaller than the sum of its proper divisors (1523668677880).

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

1102200122120 is a wasteful number, since it uses less digits than its factorization.

1102200122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31003 (or 30999 counting only the distinct ones).

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

Adding to 1102200122120 its reverse (212210022011), we get a palindrome (1314410144131).

The spelling of 1102200122120 in words is "one trillion, one hundred two billion, two hundred million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 79 92 115 158 184 230 316 395 460 499 632 790 920 998 1580 1817 1996 2495 3160 3634 3992 4990 7268 9085 9980 11477 14536 18170 19960 22954 30391 36340 39421 45908 57385 60782 72680 78842 91816 114770 121564 151955 157684 197105 229540 243128 303910 315368 394210 459080 607820 698993 788420 906683 1215640 1397986 1576840 1813366 2400889 2795972 3494965 3626732 4533415 4801778 5591944 6989930 7253464 9066830 9603556 12004445 13979860 15165109 18133660 19207112 24008890 27959720 30330218 36267320 48017780 55220447 60660436 75825545 96035560 110440894 121320872 151651090 220881788 276102235 303302180 348797507 441763576 552204470 606604360 697595014 1104408940 1198043611 1395190028 1743987535 2208817880 2396087222 2790380056 3487975070 4792174444 5990218055 6975950140 9584348888 11980436110 13951900280 23960872220 27555003053 47921744440 55110006106 110220012212 137775015265 220440024424 275550030530 551100061060 1102200122120