Search a number
-
+
1212010102000 = 24534127154541
BaseRepresentation
bin10001101000110001011…
…011100111110011110000
311021212102001211111200001
4101220301123213303300
5124324144041231000
62324442330435344
7153364511612455
oct21506133476360
94255361744601
101212010102000
11428013118525
12176a8b892b54
138a3a4878639
144293961582c
15217d92a446a
hex11a316e7cf0

1212010102000 has 160 divisors (see below), whose sum is σ = 3013252639488. Its totient is φ = 471225600000.

The previous prime is 1212010101979. The next prime is 1212010102001. The reversal of 1212010102000 is 2010102121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212010102001) 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, 22194730 + ... + 22249270.

Almost surely, 21212010102000 is an apocalyptic number.

1212010102000 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 1212010102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506626319744).

1212010102000 is an abundant number, since it is smaller than the sum of its proper divisors (1801242537488).

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

1212010102000 is a wasteful number, since it uses less digits than its factorization.

1212010102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54876 (or 54860 counting only the distinct ones).

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

Adding to 1212010102000 its reverse (2010102121), we get a palindrome (1214020204121).

The spelling of 1212010102000 in words is "one trillion, two hundred twelve billion, ten million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 271 328 400 410 500 542 656 820 1000 1025 1084 1355 1640 2000 2050 2168 2710 3280 4100 4336 5125 5420 6775 8200 10250 10840 11111 13550 16400 20500 21680 22222 27100 33875 41000 44444 54200 54541 55555 67750 82000 88888 108400 109082 111110 135500 177776 218164 222220 271000 272705 277775 436328 444440 542000 545410 555550 872656 888880 1090820 1111100 1363525 1388875 2181640 2222200 2236181 2727050 2777750 4363280 4444400 4472362 5454100 5555500 6817625 8944724 10908200 11111000 11180905 13635250 14780611 17889448 21816400 22222000 22361810 27270500 29561222 35778896 44723620 54541000 55904525 59122444 73903055 89447240 109082000 111809050 118244888 147806110 178894480 223618100 236489776 279522625 295612220 369515275 447236200 559045250 591224440 606005051 739030550 894472400 1118090500 1182448880 1212010102 1478061100 1847576375 2236181000 2424020204 2956122200 3030025255 3695152750 4472362000 4848040408 5912244400 6060050510 7390305500 9696080816 12120101020 14780611000 15150126275 24240202040 29561222000 30300252550 48480404080 60600505100 75750631375 121201010200 151501262750 242402020400 303002525500 606005051000 1212010102000