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10122222212000 = 255317148856209
BaseRepresentation
bin1001001101001100001101…
…1101011001001110100000
31022211200020001212221002222
42103103003131121032200
52311320302341241000
633310030143130212
72063210050120013
oct223230335311640
938750201787088
1010122222212000
1132528a0609988
1211759078a3968
135856a1850422
1426dcbd65537a
15128480051a85
hex934c37593a0

10122222212000 has 96 divisors (see below), whose sum is σ = 26333258973840. Its totient is φ = 3810718924800.

The previous prime is 10122222211993. The next prime is 10122222212009. The reversal of 10122222212000 is 21222222101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 157669349776 + 9964552862224 = 397076^2 + 3156668^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 10122222212000.

It is not an unprimeable number, because it can be changed into a prime (10122222212009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74360105 + ... + 74496104.

Almost surely, 210122222212000 is an apocalyptic number.

10122222212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122222212000 is an abundant number, since it is smaller than the sum of its proper divisors (16211036761840).

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

10122222212000 is a wasteful number, since it uses less digits than its factorization.

10122222212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148856251 (or 148856233 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10122222212000 its reverse (21222222101), we get a palindrome (10143444434101).

The spelling of 10122222212000 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 148856209 297712418 595424836 744281045 1190849672 1488562090 2381699344 2530555553 2977124180 3721405225 4763398688 5061111106 5954248360 7442810450 10122222212 11908496720 12652777765 14885620900 18607026125 20244444424 23816993440 25305555530 29771241800 37214052250 40488888848 50611111060 59542483600 63263888825 74428104500 80977777696 101222222120 119084967200 126527777650 148856209000 202444444240 253055555300 297712418000 316319444125 404888888480 506111110600 595424836000 632638888250 1012222221200 1265277776500 2024444442400 2530555553000 5061111106000 10122222212000