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20122112112012 = 22331311422258419
BaseRepresentation
bin1001001001101000010110…
…10110000011010110001100
32122020122200120221112011000
410210310023112003112030
510114140041200041022
6110443545400300300
74144526460605151
oct444641326032614
978218616845130
1020122112112012
116458815783179
12230b972771690
13b2c678c39c11
144d7cb5cc4228
1524d6504976ac
hex124d0b58358c

20122112112012 has 48 divisors (see below), whose sum is σ = 52566671203200. Its totient is φ = 6656169396240.

The previous prime is 20122112111993. The next prime is 20122112112031. The reversal of 20122112112012 is 21021121122102.

20122112112012 is a `hidden beast` number, since 201 + 221 + 1 + 211 + 20 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (20122112111993) and next prime (20122112112031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 711115062 + ... + 711143357.

It is an arithmetic number, because the mean of its divisors is an integer number (1095138983400).

Almost surely, 220122112112012 is an apocalyptic number.

It is an amenable number.

20122112112012 is an abundant number, since it is smaller than the sum of its proper divisors (32444559091188).

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

20122112112012 is a wasteful number, since it uses less digits than its factorization.

20122112112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422258563 (or 1422258555 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20122112112012 its reverse (21021121122102), we get a palindrome (41143233234114).

The spelling of 20122112112012 in words is "twenty trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2358 3537 4716 7074 14148 1422258419 2844516838 4266775257 5689033676 8533550514 12800325771 17067101028 25600651542 38400977313 51201303084 76801954626 153603909252 186315852889 372631705778 558947558667 745263411556 1117895117334 1676842676001 2235790234668 3353685352002 5030528028003 6707370704004 10061056056006 20122112112012