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221220212201120 = 25511125693302387
BaseRepresentation
bin110010010011001011011000…
…001010100101011010100000
31002000021110000221121212200002
4302103023120022211122200
5212443432443310413440
62102255055033515132
764411430041041506
oct6223133012453240
91060243027555602
10221220212201120
116453aa68652320
1220989b61572aa8
139658c904a1c22
143c8b18892c676
151a896a32e6115
hexc932d82a56a0

221220212201120 has 48 divisors (see below), whose sum is σ = 570144819631968. Its totient is φ = 80443713527040.

The previous prime is 221220212201111. The next prime is 221220212201173. The reversal of 221220212201120 is 21102212022122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221220212201092 and 221220212201101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62846649434 + ... + 62846652953.

It is an arithmetic number, because the mean of its divisors is an integer number (11878017075666).

Almost surely, 2221220212201120 is an apocalyptic number.

221220212201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221220212201120 is an abundant number, since it is smaller than the sum of its proper divisors (348924607430848).

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

221220212201120 is a wasteful number, since it uses less digits than its factorization.

221220212201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125693302413 (or 125693302405 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221220212201120 its reverse (21102212022122), we get a palindrome (242322424223242).

The spelling of 221220212201120 in words is "two hundred twenty-one trillion, two hundred twenty billion, two hundred twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 125693302387 251386604774 502773209548 628466511935 1005546419096 1256933023870 1382626326257 2011092838192 2513866047740 2765252652514 4022185676384 5027732095480 5530505305028 6913131631285 10055464190960 11061010610056 13826263262570 20110928381920 22122021220112 27652526525140 44244042440224 55305053050280 110610106100560 221220212201120