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21122220001122 = 235313138854179
BaseRepresentation
bin1001100110101111001100…
…11010111000011101100010
32202210021010211101021200000
410303113212122320131202
510232031301310013442
6112531225223240430
74310013205444542
oct463274632703542
982707124337600
1021122220001122
116803979598819
1224517648a9116
13ba2a8067c066
1453046c7b3322
15269686420d4c
hex1335e66b8762

21122220001122 has 48 divisors (see below), whose sum is σ = 47611432071840. Its totient is φ = 7018245572832.

The previous prime is 21122220001039. The next prime is 21122220001123. The reversal of 21122220001122 is 22110002222112.

It is a happy number.

21122220001122 is a `hidden beast` number, since 211 + 222 + 200 + 0 + 11 + 22 = 666.

It is a super-2 number, since 2×211222200011222 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21122220001095 and 21122220001104.

It is not an unprimeable number, because it can be changed into a prime (21122220001123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69274972 + ... + 69579207.

It is an arithmetic number, because the mean of its divisors is an integer number (991904834830).

Almost surely, 221122220001122 is an apocalyptic number.

21122220001122 is an abundant number, since it is smaller than the sum of its proper divisors (26489212070718).

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

21122220001122 is a wasteful number, since it uses less digits than its factorization.

21122220001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138854509 (or 138854497 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21122220001122 its reverse (22110002222112), we get a palindrome (43232222223234).

The spelling of 21122220001122 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twenty million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 313 486 626 939 1878 2817 5634 8451 16902 25353 50706 76059 152118 138854179 277708358 416562537 833125074 1249687611 2499375222 3749062833 7498125666 11247188499 22494376998 33741565497 43461358027 67483130994 86922716054 130384074081 260768148162 391152222243 782304444486 1173456666729 2346913333458 3520370000187 7040740000374 10561110000561 21122220001122