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1020210121120 = 255127131383261
BaseRepresentation
bin11101101100010010100…
…00110000100110100000
310121112100012022221201111
432312021100300212200
5113203342242333440
62100402243313104
7133464520642651
oct16661120604640
93545305287644
101020210121120
1136373a020033
1214588237b794
13752893624a8
14375425c7528
151b810b8a4ea
hexed894309a0

1020210121120 has 96 divisors (see below), whose sum is σ = 2447774816256. Its totient is φ = 401779123200.

The previous prime is 1020210121081. The next prime is 1020210121201. The reversal of 1020210121120 is 211210120201.

It is a self number, because there is not a number n which added to its sum of digits gives 1020210121120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2470290 + ... + 2853550.

It is an arithmetic number, because the mean of its divisors is an integer number (25497654336).

Almost surely, 21020210121120 is an apocalyptic number.

1020210121120 is a gapful number since it is divisible by the number (10) 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 1020210121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223887408128).

1020210121120 is an abundant number, since it is smaller than the sum of its proper divisors (1427564695136).

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

1020210121120 is a wasteful number, since it uses less digits than its factorization.

1020210121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383534 (or 383526 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1020210121120 its reverse (211210120201), we get a palindrome (1231420241321).

The spelling of 1020210121120 in words is "one trillion, twenty billion, two hundred ten million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 131 160 254 262 508 524 635 655 1016 1048 1270 1310 2032 2096 2540 2620 4064 4192 5080 5240 10160 10480 16637 20320 20960 33274 66548 83185 133096 166370 266192 332740 383261 532384 665480 766522 1330960 1533044 1916305 2661920 3066088 3832610 6132176 7665220 12264352 15330440 30660880 48674147 50207191 61321760 97348294 100414382 194696588 200828764 243370735 251035955 389393176 401657528 486741470 502071910 778786352 803315056 973482940 1004143820 1557572704 1606630112 1946965880 2008287640 3893931760 4016575280 6376313257 7787863520 8033150560 12752626514 25505253028 31881566285 51010506056 63763132570 102021012112 127526265140 204042024224 255052530280 510105060560 1020210121120