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1001001012120 = 233352931960441
BaseRepresentation
bin11101001000100000100…
…11110100101110011000
310112200202111000002222000
432210100103310232120
5112400022224341440
62043504205401000
7132214511133504
oct16442023645630
93480674002860
101001001012120
11356581a8013a
12142001269160
137351779b5c5
143663d379304
151b089597730
hexe9104f4b98

1001001012120 has 128 divisors (see below), whose sum is σ = 3451727736000. Its totient is φ = 257728988160.

The previous prime is 1001001012113. The next prime is 1001001012157. The reversal of 1001001012120 is 212101001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 15948901 + ... + 16011540.

Almost surely, 21001001012120 is an apocalyptic number.

1001001012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001001012120 is an abundant number, since it is smaller than the sum of its proper divisors (2450726723880).

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

1001001012120 is a wasteful number, since it uses less digits than its factorization.

1001001012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31960490 (or 31960480 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001001012120 its reverse (212101001001), we get a palindrome (1213102013121).

The spelling of 1001001012120 in words is "one trillion, one billion, one million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3480 3915 5220 6264 7830 10440 15660 31320 31960441 63920882 95881323 127841764 159802205 191762646 255683528 287643969 319604410 383525292 479406615 575287938 639208820 767050584 862931907 926852789 958813230 1150575876 1278417640 1438219845 1725863814 1853705578 1917626460 2301151752 2780558367 2876439690 3451727628 3707411156 3835252920 4314659535 4634263945 5561116734 5752879380 6903455256 7414822312 8341675101 8629319070 9268527890 11122233468 11505758760 13902791835 16683350202 17258638140 18537055780 22244466936 25025025303 27805583670 33366700404 34517276280 37074111560 41708375505 50050050606 55611167340 66733400808 83416751010 100100101212 111222334680 125125126515 166833502020 200200202424 250250253030 333667004040 500500506060 1001001012120