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1211314951220 = 22511171222726489
BaseRepresentation
bin10001101000000111111…
…111110101010000110100
311021210121121210012001212
4101220013333311100310
5124321233111414340
62324245335140552
7153341341126013
oct21500777652064
94253547705055
101211314951220
11427796790450
12176916b14758
138a2c384650a
14428b1180a7a
152179823da65
hex11a07ff5434

1211314951220 has 96 divisors (see below), whose sum is σ = 2938599699840. Its totient is φ = 414518128640.

The previous prime is 1211314951219. The next prime is 1211314951241. The reversal of 1211314951220 is 221594131121.

It is a super-2 number, since 2×12113149512202 (a number of 25 digits) contains 22 as substring.

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, 45715736 + ... + 45742224.

It is an arithmetic number, because the mean of its divisors is an integer number (30610413540).

Almost surely, 21211314951220 is an apocalyptic number.

1211314951220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211314951220 is an abundant number, since it is smaller than the sum of its proper divisors (1727284748620).

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

1211314951220 is a wasteful number, since it uses less digits than its factorization.

1211314951220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38753 (or 38751 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The spelling of 1211314951220 in words is "one trillion, two hundred eleven billion, three hundred fourteen million, nine hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 12227 24454 26489 48908 52978 61135 105956 122270 132445 134497 207859 244540 264890 268994 291379 415718 450313 529780 537988 582758 672485 831436 900626 1039295 1165516 1344970 1456895 1801252 2078590 2251565 2286449 2689940 2913790 4157180 4503130 4572898 4953443 5827580 9006260 9145796 9906886 11432245 19813772 22864490 24767215 45728980 49534430 99068860 323881003 647762006 1295524012 1619405015 3238810030 3562691033 5505977051 6477620060 7125382066 11011954102 14250764132 17813455165 22023908204 27529885255 35626910330 55059770510 60565747561 71253820660 110119541020 121131495122 242262990244 302828737805 605657475610 1211314951220