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1001020112120 = 235724191218913
BaseRepresentation
bin11101001000100010111…
…00101011110011111000
310112200210210221111020102
432210101130223303320
5112400042122041440
62043510131014532
7132215132363600
oct16442134536370
93480723844212
101001020112120
11356591836266
1214200773a448
137351b728192
1436641b0bc00
151b08b0bbb15
hexe91172bcf8

1001020112120 has 96 divisors (see below), whose sum is σ = 2626272104400. Its totient is φ = 342387505152.

The previous prime is 1001020112089. The next prime is 1001020112123. The reversal of 1001020112120 is 212110201001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001020112123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211784 + ... + 1430696.

Almost surely, 21001020112120 is an apocalyptic number.

1001020112120 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 1001020112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313136052200).

1001020112120 is an abundant number, since it is smaller than the sum of its proper divisors (1625251992280).

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

1001020112120 is a wasteful number, since it uses less digits than its factorization.

1001020112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219357 (or 1219346 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001020112120 its reverse (212110201001), we get a palindrome (1213130313121).

The spelling of 1001020112120 in words is "one trillion, one billion, twenty million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 419 490 838 980 1676 1960 2095 2933 3352 4190 5866 8380 11732 14665 16760 20531 23464 29330 41062 58660 82124 102655 117320 164248 205310 410620 821240 1218913 2437826 4875652 6094565 8532391 9751304 12189130 17064782 24378260 34129564 42661955 48756520 59726737 68259128 85323910 119453474 170647820 238906948 298633685 341295640 477813896 510724547 597267370 1021449094 1194534740 2042898188 2389069480 2553622735 3575071829 4085796376 5107245470 7150143658 10214490940 14300287316 17875359145 20428981880 25025502803 28600574632 35750718290 50051005606 71501436580 100102011212 125127514015 143002873160 200204022424 250255028030 500510056060 1001020112120