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102212001021200 = 24527231587142873
BaseRepresentation
bin10111001111011000010110…
…000000110011110100010000
3111101220101001002111002220212
4113033120112000303310100
5101344120134230134300
61001215313421223252
730346400445453320
oct2717302600636420
9441811032432825
10102212001021200
112a627958a07aa4
12b569454401b28
13450572012aa55
141b35131589280
15bc3b7e5e4935
hex5cf616033d10

102212001021200 has 120 divisors (see below), whose sum is σ = 292846905967488. Its totient is φ = 33520457456640.

The previous prime is 102212001021191. The next prime is 102212001021217. The reversal of 102212001021200 is 2120100212201.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 793507037 + ... + 793635836.

Almost surely, 2102212001021200 is an apocalyptic number.

102212001021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212001021200 is an abundant number, since it is smaller than the sum of its proper divisors (190634904946288).

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

102212001021200 is a wasteful number, since it uses less digits than its factorization.

102212001021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587142921 (or 1587142910 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102212001021200 its reverse (2120100212201), we get a palindrome (104332101233401).

The spelling of 102212001021200 in words is "one hundred two trillion, two hundred twelve billion, one million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 140 161 175 184 200 230 280 322 350 368 400 460 560 575 644 700 805 920 1150 1288 1400 1610 1840 2300 2576 2800 3220 4025 4600 6440 8050 9200 12880 16100 32200 64400 1587142873 3174285746 6348571492 7935714365 11110000111 12697142984 15871428730 22220000222 25394285968 31742857460 36504286079 39678571825 44440000444 55550000555 63485714920 73008572158 79357143650 88880000888 111100001110 126971429840 146017144316 158714287300 177760001776 182521430395 222200002220 255530002553 277750002775 292034288632 317428574600 365042860790 444400004440 511060005106 555500005550 584068577264 634857149200 730085721580 888800008880 912607151975 1022120010212 1111000011100 1277650012765 1460171443160 1825214303950 2044240020424 2222000022200 2555300025530 2920342886320 3650428607900 4088480040848 4444000044400 5110600051060 6388250063825 7300857215800 10221200102120 12776500127650 14601714431600 20442400204240 25553000255300 51106000510600 102212001021200