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1122130863720 = 233354722106597
BaseRepresentation
bin10000010101000100001…
…101100010011001101000
310222021102020012010111000
4100111010031202121220
5121341111000114340
62215255542435000
7144033306652056
oct20250415423150
93867366163430
101122130863720
113a2990689509
12161587432a60
1381a7ca88bc9
143c4507911d6
151e2c882dd30
hex10544362668

1122130863720 has 128 divisors (see below), whose sum is σ = 3820020134400. Its totient is φ = 292868183808.

The previous prime is 1122130863713. The next prime is 1122130863727. The reversal of 1122130863720 is 273680312211.

1122130863720 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 13 + 0 + 8 + 637 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1122130863713) and next prime (1122130863727).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1122130863727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11002539 + ... + 11104058.

It is an arithmetic number, because the mean of its divisors is an integer number (29843907300).

Almost surely, 21122130863720 is an apocalyptic number.

1122130863720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122130863720 is an abundant number, since it is smaller than the sum of its proper divisors (2697889270680).

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

1122130863720 is a wasteful number, since it uses less digits than its factorization.

1122130863720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22106664 (or 22106654 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1122130863720 in words is "one trillion, one hundred twenty-two billion, one hundred thirty million, eight hundred sixty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 90 94 108 120 135 141 180 188 216 235 270 282 360 376 423 470 540 564 705 846 940 1080 1128 1269 1410 1692 1880 2115 2538 2820 3384 4230 5076 5640 6345 8460 10152 12690 16920 25380 50760 22106597 44213194 66319791 88426388 110532985 132639582 176852776 198959373 221065970 265279164 331598955 397918746 442131940 530558328 596878119 663197910 795837492 884263880 994796865 1039010059 1193756238 1326395820 1591674984 1989593730 2078020118 2387512476 2652791640 2984390595 3117030177 3979187460 4156040236 4775024952 5195050295 5968781190 6234060354 7958374920 8312080472 9351090531 10390100590 11937562380 12468120708 15585150885 18702181062 20780201180 23875124760 24936241416 28053271593 31170301770 37404362124 41560402360 46755452655 56106543186 62340603540 74808724248 93510905310 112213086372 124681207080 140266357965 187021810620 224426172744 280532715930 374043621240 561065431860 1122130863720