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1220021141120 = 27523411120161
BaseRepresentation
bin10001110000001110111…
…011010011111010000000
311022122002101000110101122
4101300032323103322000
5124442100403003440
62332245303051412
7154100155410605
oct21601673237200
94278071013348
101220021141120
11430454145811
12178546740b68
138b080485282
14430995546ac
1521b077307b5
hex11c0eed3e80

1220021141120 has 128 divisors (see below), whose sum is σ = 3044313607680. Its totient is φ = 466654003200.

The previous prime is 1220021141107. The next prime is 1220021141123. The reversal of 1220021141120 is 211411200221.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1220021141123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60503840 + ... + 60524000.

It is an arithmetic number, because the mean of its divisors is an integer number (23783700060).

Almost surely, 21220021141120 is an apocalyptic number.

1220021141120 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 1220021141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522156803840).

1220021141120 is an abundant number, since it is smaller than the sum of its proper divisors (1824292466560).

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

1220021141120 is a wasteful number, since it uses less digits than its factorization.

1220021141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24314 (or 24302 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1220021141120 its reverse (211411200221), we get a palindrome (1431432341341).

The spelling of 1220021141120 in words is "one trillion, two hundred twenty billion, twenty-one million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 4111 7360 8222 14720 16444 20161 20555 32888 40322 41110 65776 80644 82220 94553 100805 131552 161288 164440 189106 201610 263104 322576 328880 378212 403220 463703 472765 526208 645152 657760 756424 806440 927406 945530 1290304 1315520 1512848 1612880 1854812 1891060 2318515 2580608 2631040 3025696 3225760 3709624 3782120 4637030 6051392 6451520 7419248 7564240 9274060 12102784 12903040 14838496 15128480 18548120 29676992 30256960 37096240 59353984 60513920 74192480 82881871 148384960 165763742 296769920 331527484 414409355 663054968 828818710 1326109936 1657637420 1906283033 2652219872 3315274840 3812566066 5304439744 6630549680 7625132132 9531415165 10608879488 13261099360 15250264264 19062830330 26522198720 30500528528 38125660660 53044397440 61001057056 76251321320 122002114112 152502642640 244004228224 305005285280 610010570560 1220021141120