Search a number
-
+
2000121120120 = 2335127728434591
BaseRepresentation
bin11101000110110000100…
…000100100010101111000
321002012122212202101112110
4131012300200210111320
5230232222001320440
64130502025012320
7264334603002654
oct35066040442570
97065585671473
102000121120120
11701279258162
122837786240a0
131167c2691096
146cb409bba64
1537063955080
hex1d1b0824578

2000121120120 has 128 divisors (see below), whose sum is σ = 6008482851840. Its totient is φ = 532644456960.

The previous prime is 2000121120097. The next prime is 2000121120227. The reversal of 2000121120120 is 210211210002.

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 = 2000121120096 and 2000121120105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435659025 + ... + 435663615.

It is an arithmetic number, because the mean of its divisors is an integer number (46941272280).

Almost surely, 22000121120120 is an apocalyptic number.

2000121120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000121120120 is an abundant number, since it is smaller than the sum of its proper divisors (4008361731720).

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

2000121120120 is a wasteful number, since it uses less digits than its factorization.

2000121120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8725 (or 8721 counting only the distinct ones).

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

Adding to 2000121120120 its reverse (210211210002), we get a palindrome (2210332330122).

The spelling of 2000121120120 in words is "two trillion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1277 2554 2843 3831 4591 5108 5686 6385 7662 8529 9182 10216 11372 12770 13773 14215 15324 17058 18364 19155 22744 22955 25540 27546 28430 30648 34116 36728 38310 42645 45910 51080 55092 56860 68232 68865 76620 85290 91820 110184 113720 137730 153240 170580 183640 275460 341160 550920 3630511 5862707 7261022 10891533 11725414 13052213 14522044 17588121 18152555 21783066 23450828 26104426 29044088 29313535 35176242 36305110 39156639 43566132 46901656 52208852 54457665 58627070 65261065 70352484 72610220 78313278 87132264 87940605 104417704 108915330 117254140 130522130 140704968 145220440 156626556 175881210 195783195 217830660 234508280 261044260 313253112 351762420 391566390 435661320 522088520 703524840 783132780 1566265560 16667676001 33335352002 50003028003 66670704004 83338380005 100006056006 133341408008 166676760010 200012112012 250015140015 333353520020 400024224024 500030280030 666707040040 1000060560060 2000121120120