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21121200111222 = 2332346136888931
BaseRepresentation
bin1001100110101101010011…
…01000010011111001110110
32202210011111202021111202000
410303112221220103321312
510232022204212024342
6112530540111400130
74306646012513601
oct463265150237166
982704452244660
1021121200111222
1168034a591a402
12245151b223046
13ba294a299903
145303b3169338
15269626b1144c
hex1335a9a13e76

21121200111222 has 64 divisors (see below), whose sum is σ = 49082937361920. Its totient is φ = 6719687488800.

The previous prime is 21121200111161. The next prime is 21121200111239. The reversal of 21121200111222 is 22211100212112.

21121200111222 is a `hidden beast` number, since 211 + 2 + 120 + 0 + 111 + 222 = 666.

It is a super-2 number, since 2×211212001112222 (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 = 21121200111195 and 21121200111204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17871904 + ... + 19017027.

It is an arithmetic number, because the mean of its divisors is an integer number (766920896280).

Almost surely, 221121200111222 is an apocalyptic number.

21121200111222 is an abundant number, since it is smaller than the sum of its proper divisors (27961737250698).

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

21121200111222 is a wasteful number, since it uses less digits than its factorization.

21121200111222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36889426 (or 36889420 counting only the distinct ones).

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

Adding to 21121200111222 its reverse (22211100212112), we get a palindrome (43332300323334).

The spelling of 21121200111222 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred million, one hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 461 621 922 1242 1383 2766 4149 8298 10603 12447 21206 24894 31809 63618 95427 190854 286281 572562 36888931 73777862 110666793 221333586 332000379 664000758 848445413 996001137 1696890826 1992002274 2545336239 5090672478 7636008717 15272017434 17005797191 22908026151 34011594382 45816052302 51017391573 102034783146 153052174719 306104349438 391133335393 459156524157 782266670786 918313048314 1173400006179 2346800012358 3520200018537 7040400037074 10560600055611 21121200111222