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220120010120000 = 26545503000253
BaseRepresentation
bin110010000011001010101111…
…000000101101101101000000
31001212101021012222022022202102
4302003022233000231231000
5212322421240042320000
62100053423041005532
764236101023461254
oct6203125700555500
91055337188268672
10220120010120000
1164156410217841
12208308960238a8
1395a92c6891333
143c4dc186a0264
151a6ac5ec293d5
hexc832af02db40

220120010120000 has 70 divisors (see below), whose sum is σ = 545826086193498. Its totient is φ = 88048004032000.

The previous prime is 220120010119949. The next prime is 220120010120009. The reversal of 220120010120000 is 21010021022.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 91723372781824 + 128396637338176 = 9577232^2 + 11331224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220120010120009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2751460127 + ... + 2751540126.

Almost surely, 2220120010120000 is an apocalyptic number.

220120010120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120010120000 is an abundant number, since it is smaller than the sum of its proper divisors (325706076073498).

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

220120010120000 is an frugal number, since it uses more digits than its factorization.

220120010120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503000285 (or 5503000260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220120010120000 its reverse (21010021022), we get a palindrome (220141020141022).

The spelling of 220120010120000 in words is "two hundred twenty trillion, one hundred twenty billion, ten million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 5503000253 11006000506 22012001012 27515001265 44024002024 55030002530 88048004048 110060005060 137575006325 176096008096 220120010120 275150012650 352192016192 440240020240 550300025300 687875031625 880480040480 1100600050600 1375750063250 1760960080960 2201200101200 2751500126500 3439375158125 4402400202400 5503000253000 6878750316250 8804800404800 11006000506000 13757500632500 22012001012000 27515001265000 44024002024000 55030002530000 110060005060000 220120010120000