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2120022210112 = 2610110316091979
BaseRepresentation
bin11110110110011011001…
…010111011011001000000
321111200010222210212000021
4132312123022323121000
5234213301141210422
64301531425303224
7306111061313002
oct36663312733100
97450128725007
102120022210112
117481072a5774
122a2a5b194b14
13124bc0226b01
1474876b38372
153a22edbddc7
hex1ed9b2bb640

2120022210112 has 112 divisors (see below), whose sum is σ = 4294655164800. Its totient is φ = 1038155673600.

The previous prime is 2120022210101. The next prime is 2120022210133. The reversal of 2120022210112 is 2110122200212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1071258339 + ... + 1071260317.

It is an arithmetic number, because the mean of its divisors is an integer number (38345135400).

Almost surely, 22120022210112 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 2120022210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147327582400).

2120022210112 is an abundant number, since it is smaller than the sum of its proper divisors (2174632954688).

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

2120022210112 is a wasteful number, since it uses less digits than its factorization.

2120022210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2120022210112 its reverse (2110122200212), we get a palindrome (4230144410324).

The spelling of 2120022210112 in words is "two trillion, one hundred twenty billion, twenty-two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 103 202 206 404 412 808 824 1609 1616 1648 1979 3218 3232 3296 3958 6436 6464 6592 7916 10403 12872 15832 20806 25744 31664 41612 51488 63328 83224 102976 126656 162509 165727 166448 199879 203837 325018 331454 332896 399758 407674 650036 662908 665792 799516 815348 1300072 1325816 1599032 1630696 2600144 2651632 3184211 3198064 3261392 5200288 5303264 6368422 6396128 6522784 10400576 10606528 12736844 12792256 13045568 16738427 20587537 25473688 33476854 41175074 50947376 66953708 82350148 101894752 133907416 164700296 203789504 267814832 321605311 327973733 329400592 535629664 643210622 655947466 658801184 1071259328 1286421244 1311894932 1317602368 2572842488 2623789864 5145684976 5247579728 10291369952 10495159456 20582739904 20990318912 33125347033 66250694066 132501388132 265002776264 530005552528 1060011105056 2120022210112