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221121000221120 = 2652278971339323
BaseRepresentation
bin110010010001101110111110…
…101010111010100111000000
31001222220221221200210002122022
4302101232332222322213000
5212440321302024033440
62102141330220501012
764401315343112426
oct6221567652724700
91058827850702568
10221121000221120
116450198701531a
12209728936aa768
13964c80c00c50c
143c864563d9116
151a86ce8368cb5
hexc91bbeaba9c0

221121000221120 has 112 divisors (see below), whose sum is σ = 528924471931008. Its totient is φ = 88048684139520.

The previous prime is 221121000221057. The next prime is 221121000221131. The reversal of 221121000221120 is 21122000121122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651483779 + ... + 651823101.

Almost surely, 2221121000221120 is an apocalyptic number.

221121000221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221121000221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264462235965504).

221121000221120 is an abundant number, since it is smaller than the sum of its proper divisors (307803471709888).

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

221121000221120 is a wasteful number, since it uses less digits than its factorization.

221121000221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348538 (or 348528 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221121000221120 its reverse (21122000121122), we get a palindrome (242243000342242).

The spelling of 221121000221120 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 227 320 454 908 1135 1816 2270 3632 4540 7264 8971 9080 14528 17942 18160 35884 36320 44855 71768 72640 89710 143536 179420 287072 339323 358840 574144 678646 717680 1357292 1435360 1696615 2036417 2714584 2870720 3393230 4072834 5429168 6786460 8145668 10182085 10858336 13572920 16291336 20364170 21716672 27145840 32582672 40728340 54291680 65165344 77026321 81456680 108583360 130330688 154052642 162913360 308105284 325826720 385131605 616210568 651653440 770263210 1232421136 1540526420 2464842272 3044066633 3081052840 4929684544 6088133266 6162105680 12176266532 12324211360 15220333165 24352533064 24648422720 30440666330 48705066128 60881332660 97410132256 121762665320 194820264512 243525330640 487050661280 691003125691 974101322560 1382006251382 2764012502764 3455015628455 5528025005528 6910031256910 11056050011056 13820062513820 22112100022112 27640125027640 44224200044224 55280250055280 110560500110560 221121000221120