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2122202012020 = 2253183394310459
BaseRepresentation
bin11110111000011101000…
…110001101100101110100
321111212202220111021002021
4132320131012031211310
5234232232203341040
64302532014122524
7306216100316416
oct36703506154564
97455686437067
102122202012020
1174902578a152
122a33691b0444
13125179a05b1c
1474a024389b6
153a30b44b24a
hex1ee1d18d974

2122202012020 has 96 divisors (see below), whose sum is σ = 4657438679040. Its totient is φ = 811316580480.

The previous prime is 2122202011997. The next prime is 2122202012023. The reversal of 2122202012020 is 202102022212.

It is a junction number, because it is equal to n+sod(n) for n = 2122202011985 and 2122202012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122202012023) 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, 202901551 + ... + 202912009.

It is an arithmetic number, because the mean of its divisors is an integer number (48514986240).

Almost surely, 22122202012020 is an apocalyptic number.

2122202012020 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 2122202012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328719339520).

2122202012020 is an abundant number, since it is smaller than the sum of its proper divisors (2535236667020).

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

2122202012020 is a wasteful number, since it uses less digits than its factorization.

2122202012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14525 (or 14523 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2122202012020 its reverse (202102022212), we get a palindrome (2324304034232).

The spelling of 2122202012020 in words is "two trillion, one hundred twenty-two billion, two hundred two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 83 124 155 166 310 332 415 620 830 1660 2573 3943 5146 7886 10292 10459 12865 15772 19715 20918 25730 39430 41836 51460 52295 78860 104590 122233 209180 244466 324229 327269 488932 611165 648458 654538 868097 1222330 1296916 1309076 1621145 1636345 1736194 2444660 3242290 3272690 3472388 4340485 6484580 6545380 8680970 10145339 17361940 20290678 26911007 40581356 41239837 50726695 53822014 82479674 101453390 107644028 134555035 164959348 202906780 206199185 269110070 412398370 538220140 824796740 1278434947 2556869894 3422906471 5113739788 6392174735 6845812942 12784349470 13691625884 17114532355 25568698940 34229064710 68458129420 106110100601 212220201202 424440402404 530550503005 1061101006010 2122202012020