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2120021202120 = 233553571583777
BaseRepresentation
bin11110110110011011000…
…111000101010011001000
321111200010220220122022020
4132312123013011103020
5234213300411431440
64301531351524440
7306111046614153
oct36663307052310
97450126818266
102120021202120
11748106777418
122a2a5a989720
13124bbcc63073
1474876954c9a
153a22ec703d0
hex1ed9b1c54c8

2120021202120 has 128 divisors (see below), whose sum is σ = 6491424551040. Its totient is φ = 553699860480.

The previous prime is 2120021202097. The next prime is 2120021202137. The reversal of 2120021202120 is 212021200212.

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

2120021202120 is a modest number, since divided by 21202120 gives 21200 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 2120021202120.

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, 3339672 + ... + 3923448.

It is an arithmetic number, because the mean of its divisors is an integer number (50714254305).

Almost surely, 22120021202120 is an apocalyptic number.

2120021202120 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 2120021202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245712275520).

2120021202120 is an abundant number, since it is smaller than the sum of its proper divisors (4371403348920).

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

2120021202120 is a wasteful number, since it uses less digits than its factorization.

2120021202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584415 (or 584411 counting only the distinct ones).

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

Adding to 2120021202120 its reverse (212021200212), we get a palindrome (2332042402332).

The spelling of 2120021202120 in words is "two trillion, one hundred twenty billion, twenty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 571 636 795 1060 1142 1272 1590 1713 2120 2284 2855 3180 3426 4568 5710 6360 6852 8565 11420 13704 17130 22840 30263 34260 60526 68520 90789 121052 151315 181578 242104 302630 363156 453945 583777 605260 726312 907890 1167554 1210520 1751331 1815780 2335108 2918885 3502662 3631560 4670216 5837770 7005324 8756655 11675540 14010648 17513310 23351080 30940181 35026620 61880362 70053240 92820543 123760724 154700905 185641086 247521448 309401810 333336667 371282172 464102715 618803620 666673334 742564344 928205430 1000010001 1237607240 1333346668 1666683335 1856410860 2000020002 2666693336 3333366670 3712821720 4000040004 5000050005 6666733340 8000080008 10000100010 13333466680 17666843351 20000200020 35333686702 40000400040 53000530053 70667373404 88334216755 106001060106 141334746808 176668433510 212002120212 265002650265 353336867020 424004240424 530005300530 706673734040 1060010601060 2120021202120