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2120210022120 = 2335234991539463
BaseRepresentation
bin11110110110100110010…
…111010111111011101000
321111200122002012200122120
4132312212113113323220
5234214142231201440
64302002214551240
7306115531555611
oct36664627277350
97450562180576
102120210022120
117481a3313703
122a2ab2068520
13124c20104688
1474893a66c08
153a24161bdd0
hex1eda65d7ee8

2120210022120 has 128 divisors (see below), whose sum is σ = 6650484480000. Its totient is φ = 539723061504.

The previous prime is 2120210022103. The next prime is 2120210022163. The reversal of 2120210022120 is 212200120212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2120210022120.

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, 607509 + ... + 2146971.

It is an arithmetic number, because the mean of its divisors is an integer number (51956910000).

Almost surely, 22120210022120 is an apocalyptic number.

2120210022120 is a gapful number since it is divisible by the number (20) 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 2120210022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325242240000).

2120210022120 is an abundant number, since it is smaller than the sum of its proper divisors (4530274457880).

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

2120210022120 is a wasteful number, since it uses less digits than its factorization.

2120210022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539999 (or 1539995 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2120210022120 its reverse (212200120212), we get a palindrome (2332410142332).

The spelling of 2120210022120 in words is "two trillion, one hundred twenty billion, two hundred ten million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 499 552 690 920 998 1380 1497 1996 2495 2760 2994 3992 4990 5988 7485 9980 11477 11976 14970 19960 22954 29940 34431 45908 57385 59880 68862 91816 114770 137724 172155 229540 275448 344310 459080 688620 1377240 1539463 3078926 4618389 6157852 7697315 9236778 12315704 15394630 18473556 23091945 30789260 35407649 36947112 46183890 61578520 70815298 92367780 106222947 141630596 177038245 184735560 212445894 283261192 354076490 424891788 531114735 708152980 768192037 849783576 1062229470 1416305960 1536384074 2124458940 2304576111 3072768148 3840960185 4248917880 4609152222 6145536296 7681920370 9218304444 11522880555 15363840740 17668416851 18436608888 23045761110 30727681480 35336833702 46091522220 53005250553 70673667404 88342084255 92183044440 106010501106 141347334808 176684168510 212021002212 265026252765 353368337020 424042004424 530052505530 706736674040 1060105011060 2120210022120