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1202011002120 = 2335127191412943
BaseRepresentation
bin10001011111011101011…
…100000101010100001000
311020220121012202121021110
4101133131130011110020
5124143204304031440
62320110215210320
7152561644636665
oct21373534052410
94226535677243
101202011002120
11423851968815
12174b5b0769a0
1389470114aa6
144226b648a6c
1521401523080
hex117dd705508

1202011002120 has 128 divisors (see below), whose sum is σ = 3653464227840. Its totient is φ = 316346607360.

The previous prime is 1202011002109. The next prime is 1202011002121. The reversal of 1202011002120 is 212001102021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1202011002096 and 1202011002105.

It is not an unprimeable number, because it can be changed into a prime (1202011002121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2704369 + ... + 3117311.

It is an arithmetic number, because the mean of its divisors is an integer number (28542689280).

Almost surely, 21202011002120 is an apocalyptic number.

1202011002120 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 1202011002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826732113920).

1202011002120 is an abundant number, since it is smaller than the sum of its proper divisors (2451453225720).

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

1202011002120 is a wasteful number, since it uses less digits than its factorization.

1202011002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413275 (or 413271 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1202011002120 its reverse (212001102021), we get a palindrome (1414012104141).

Subtracting from 1202011002120 its reverse (212001102021), we obtain a palindrome (990009900099).

The spelling of 1202011002120 in words is "one trillion, two hundred two billion, eleven million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 191 254 381 382 508 573 635 762 764 955 1016 1146 1270 1524 1528 1905 1910 2292 2540 2865 3048 3810 3820 4584 5080 5730 7620 7640 11460 15240 22920 24257 48514 72771 97028 121285 145542 194056 242570 291084 363855 412943 485140 582168 727710 825886 970280 1238829 1455420 1651772 2064715 2477658 2910840 3303544 4129430 4955316 6194145 8258860 9910632 12388290 16517720 24776580 49553160 52443761 78872113 104887522 157331283 157744226 209775044 236616339 262218805 314662566 315488452 394360565 419550088 473232678 524437610 629325132 630976904 786656415 788721130 946465356 1048875220 1183081695 1258650264 1573312830 1577442260 1892930712 2097750440 2366163390 3146625660 3154884520 4732326780 6293251320 9464653560 10016758351 20033516702 30050275053 40067033404 50083791755 60100550106 80134066808 100167583510 120201100212 150251375265 200335167020 240402200424 300502750530 400670334040 601005501060 1202011002120