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21121121001222 = 2341171166936351
BaseRepresentation
bin1001100110101101001001…
…11010100001111100000110
32202210011022020102022020000
410303112210322201330012
510232022023434014342
6112530524204022130
74306644032215314
oct463264472417406
982704266368200
1021121121001222
1168034651a6940
1224514b8831946
13ba2936a8b668
145303a68550b4
1526961ebd644c
hex1335a4ea1f06

21121121001222 has 80 divisors (see below), whose sum is σ = 52356581950464. Its totient is φ = 6310194030000.

The previous prime is 21121121001203. The next prime is 21121121001223. The reversal of 21121121001222 is 22210012112112.

21121121001222 is a `hidden beast` number, since 21 + 1 + 211 + 210 + 0 + 1 + 222 = 666.

It is a super-2 number, since 2×211211210012222 (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 = 21121121001195 and 21121121001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121121001223) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83341654 + ... + 83594697.

Almost surely, 221121121001222 is an apocalyptic number.

21121121001222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21121121001222 is an abundant number, since it is smaller than the sum of its proper divisors (31235460949242).

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

21121121001222 is a wasteful number, since it uses less digits than its factorization.

21121121001222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166936447 (or 166936438 counting only the distinct ones).

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

Adding to 21121121001222 its reverse (22210012112112), we get a palindrome (43331133113334).

The spelling of 21121121001222 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty-one million, one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 81 99 142 162 198 213 297 426 594 639 781 891 1278 1562 1782 1917 2343 3834 4686 5751 7029 11502 14058 21087 42174 63261 126522 166936351 333872702 500809053 1001618106 1502427159 1836299861 3004854318 3672599722 4507281477 5508899583 9014562954 11017799166 11852480921 13521844431 16526698749 23704961842 27043688862 33053397498 35557442763 49580096247 71114885526 99160192494 106672328289 130377290131 148740288741 213344656578 260754580262 297480577482 320016984867 391131870393 640033969734 782263740786 960050954601 1173395611179 1920101909202 2346791222358 3520186833537 7040373667074 10560560500611 21121121001222