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1012021001200 = 2452111351317021
BaseRepresentation
bin11101011101000010010…
…01101111101111110000
310120202012111001120001201
432232201021233233300
5113040104334014300
62052525510140544
7133054552401526
oct16564111575760
93522174046051
101012021001200
11360217521030
12144177951754
13745828a43c1
1436da6b70316
151b4d1c8466a
hexeba126fbf0

1012021001200 has 120 divisors (see below), whose sum is σ = 2652767171856. Its totient is φ = 367958784000.

The previous prime is 1012021001191. The next prime is 1012021001279. The reversal of 1012021001200 is 21001202101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59448690 + ... + 59465710.

Almost surely, 21012021001200 is an apocalyptic number.

1012021001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012021001200 is an abundant number, since it is smaller than the sum of its proper divisors (1640746170656).

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

1012021001200 is a wasteful number, since it uses less digits than its factorization.

1012021001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30563 (or 30552 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1012021001200 its reverse (21001202101), we get a palindrome (1033022203301).

The spelling of 1012021001200 in words is "one trillion, twelve billion, twenty-one million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 13513 17021 27026 34042 54052 67565 68084 85105 108104 135130 136168 148643 170210 187231 216208 270260 272336 297286 337825 340420 374462 425525 540520 594572 675650 680840 743215 748924 851050 936155 1081040 1189144 1351300 1361680 1486430 1497848 1702100 1872310 2378288 2702600 2972860 2995696 3404200 3716075 3744620 4680775 5405200 5945720 6808400 7432150 7489240 9361550 11891440 14864300 14978480 18723100 29728600 37446200 59457200 74892400 230004773 460009546 920019092 1150023865 1840038184 2300047730 2530052503 3680076368 4600095460 5060105006 5750119325 9200190920 10120210012 11500238650 12650262515 18400381840 20240420024 23000477300 25300525030 40480840048 46000954600 50601050060 63251312575 92001909200 101202100120 126502625150 202404200240 253005250300 506010500600 1012021001200