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2120720712 = 23311371991091
BaseRepresentation
bin111111001100111…
…1010000101001000
312110210111202220120
41332121322011020
513320401030322
6550234223240
7103360554135
oct17631720510
95423452816
102120720712
11999100950
124b2284b20
1327a494336
1416192158c
15c62aba5c
hex7e67a148

2120720712 has 128 divisors (see below), whose sum is σ = 5975424000. Its totient is φ = 621561600.

The previous prime is 2120720687. The next prime is 2120720717. The reversal of 2120720712 is 2170270212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2120720717) 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, 1943287 + ... + 1944377.

It is an arithmetic number, because the mean of its divisors is an integer number (46683000).

Almost surely, 22120720712 is an apocalyptic number.

2120720712 is a gapful number since it is divisible by the number (22) 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 2120720712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987712000).

2120720712 is an abundant number, since it is smaller than the sum of its proper divisors (3854703288).

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

2120720712 is a wasteful number, since it uses less digits than its factorization.

2120720712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 2120720712 is about 46051.2835000285. The cubic root of 2120720712 is about 1284.7772150323. Note that the first 3 decimals are identical.

Adding to 2120720712 its reverse (2170270212), we get a palindrome (4290990924).

The spelling of 2120720712 in words is "two billion, one hundred twenty million, seven hundred twenty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 199 222 264 296 398 407 444 597 796 814 888 1091 1194 1221 1592 1628 2182 2189 2388 2442 3256 3273 4364 4378 4776 4884 6546 6567 7363 8728 8756 9768 12001 13092 13134 14726 17512 22089 24002 26184 26268 29452 36003 40367 44178 48004 52536 58904 72006 80734 80993 88356 96008 121101 144012 161468 161986 176712 217109 242202 242979 288024 322936 323972 434218 444037 484404 485958 647944 651327 868436 888074 968808 971916 1302654 1332111 1736872 1776148 1943832 2388199 2605308 2664222 3552296 4776398 5210616 5328444 7164597 8033033 9552796 10656888 14329194 16066066 19105592 24099099 28658388 32132132 48198198 57316776 64264264 88363363 96396396 176726726 192792792 265090089 353453452 530180178 706906904 1060360356 2120720712