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1221111221220 = 2232511616722839
BaseRepresentation
bin10001110001001111111…
…001101000101111100100
311022201220100012021011200
4101301033321220233210
5130001313433034340
62332545403202500
7154136163056652
oct21611771505744
94281810167150
101221111221220
114309634a5060
121787ab816430
138b1c5271997
144316022ddd2
1521b6d2a7330
hex11c4fe68be4

1221111221220 has 72 divisors (see below), whose sum is σ = 4040768047680. Its totient is φ = 296026962240.

The previous prime is 1221111221219. The next prime is 1221111221273. The reversal of 1221111221220 is 221221111221.

1221111221220 is a `hidden beast` number, since 1 + 2 + 211 + 11 + 221 + 220 = 666.

It is a super-3 number, since 3×12211112212203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 1221111221193 and 1221111221202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308359440 + ... + 308363399.

It is an arithmetic number, because the mean of its divisors is an integer number (56121778440).

Almost surely, 21221111221220 is an apocalyptic number.

1221111221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221111221220 is an abundant number, since it is smaller than the sum of its proper divisors (2819656826460).

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

1221111221220 is a wasteful number, since it uses less digits than its factorization.

1221111221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616722865 (or 616722860 counting only the distinct ones).

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

Adding to 1221111221220 its reverse (221221111221), we get a palindrome (1442332332441).

The spelling of 1221111221220 in words is "one trillion, two hundred twenty-one billion, one hundred eleven million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 616722839 1233445678 1850168517 2466891356 3083614195 3700337034 5550505551 6167228390 6783951229 7400674068 9250842585 11101011102 12334456780 13567902458 18501685170 20351853687 22202022204 27135804916 27752527755 33919756145 37003370340 40703707374 55505055510 61055561061 67839512290 81407414748 101759268435 111010111020 122111122122 135679024580 203518536870 244222244244 305277805305 407037073740 610555610610 1221111221220