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21121201222032 = 24317479166932377
BaseRepresentation
bin1001100110101101010011…
…01100100011000110010000
32202210011111211100221111010
410303112221230203012100
510232022210003101112
6112530540151250520
74306646025121242
oct463265154430620
982704454327433
1021121201222032
1168034a6508a2a
12245151b679a40
13ba294a5983b2
145303b3378092
15269626c8063c
hex1335a9b23190

21121201222032 has 160 divisors (see below), whose sum is σ = 57929785113600. Its totient is φ = 6608259661824.

The previous prime is 21121201222019. The next prime is 21121201222081. The reversal of 21121201222032 is 23022210212112.

It is a super-2 number, since 2×211212012220322 (a number of 27 digits) contains 22 as substring.

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, 652335828 + ... + 652368204.

It is an arithmetic number, because the mean of its divisors is an integer number (362061156960).

Almost surely, 221121201222032 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 21121201222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28964892556800).

21121201222032 is an abundant number, since it is smaller than the sum of its proper divisors (36808583891568).

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

21121201222032 is a wasteful number, since it uses less digits than its factorization.

21121201222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34553 (or 34547 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 21121201222032 its reverse (23022210212112), we get a palindrome (44143411434144).

The spelling of 21121201222032 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred one million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 479 816 958 1437 1669 1916 2874 3338 3832 5007 5748 6676 7664 8143 10014 11496 13352 16286 20028 22992 24429 26704 28373 32377 32572 40056 48858 56746 64754 65144 80112 85119 97131 97716 113492 129508 130288 170238 194262 195432 226984 259016 340476 388524 390864 453968 518032 550409 680952 777048 799451 1100818 1361904 1554096 1598902 1651227 2201636 2398353 3197804 3302454 4403272 4796706 6395608 6604908 8806544 9593412 12791216 13209816 13590667 15508583 19186824 26419632 27181334 31017166 38373648 40772001 46525749 54037213 54362668 62034332 81544002 93051498 108074426 108725336 124068664 162111639 163088004 186102996 216148852 217450672 248137328 263645911 324223278 326176008 372205992 432297704 527291822 648446556 652352016 744411984 790937733 864595408 918632621 1054583644 1296893112 1581875466 1837265242 2109167288 2593786224 2755897863 3163750932 3674530484 4218334576 5511795726 6327501864 7349060968 11023591452 12655003728 14698121936 22047182904 25883825027 44094365808 51767650054 77651475081 103535300108 155302950162 207070600216 310605900324 414141200432 440025025459 621211800648 880050050918 1242423601296 1320075076377 1760100101836 2640150152754 3520200203672 5280300305508 7040400407344 10560600611016 21121201222032