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3122455045120 = 21052029300569
BaseRepresentation
bin101101011100000000110…
…100101110010000000000
3102001111121021001002201121
4231130000310232100000
5402124241442420440
610350234104042024
7441406226652325
oct55340064562000
912044537032647
103122455045120
11aa425351a604
1242519ba63314
131985a5536798
14ab1b030ab4c
155634eee534a
hex2d700d2e400

3122455045120 has 88 divisors (see below), whose sum is σ = 7493949502200. Its totient is φ = 1248362299392.

The previous prime is 3122455045117. The next prime is 3122455045133. The reversal of 3122455045120 is 215405542213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1335078567936 + 1787376477184 = 1155456^2 + 1336928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10238196 + ... + 10538764.

Almost surely, 23122455045120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122455045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746974751100).

3122455045120 is an abundant number, since it is smaller than the sum of its proper divisors (4371494457080).

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

3122455045120 is a wasteful number, since it uses less digits than its factorization.

3122455045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302623 (or 302605 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 3122455045120 in words is "three trillion, one hundred twenty-two billion, four hundred fifty-five million, forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2029 2560 4058 5120 8116 10145 16232 20290 32464 40580 64928 81160 129856 162320 259712 300569 324640 519424 601138 649280 1038848 1202276 1298560 1502845 2077696 2404552 2597120 3005690 4809104 5194240 6011380 9618208 10388480 12022760 19236416 24045520 38472832 48091040 76945664 96182080 153891328 192364160 307782656 384728320 609854501 769456640 1219709002 1538913280 2439418004 3049272505 4878836008 6098545010 9757672016 12197090020 19515344032 24394180040 39030688064 48788360080 78061376128 97576720160 156122752256 195153440320 312245504512 390306880640 624491009024 780613761280 1561227522560 3122455045120