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1000122021120 = 2835892926387
BaseRepresentation
bin11101000110110111110…
…10101111010100000000
310112121111020000201222210
432203123322233110000
5112341222214133440
62043241045502120
7132153645625515
oct16433372572400
93477436021883
101000122021120
113561708981a2
121419b6a11940
137340764c6a1
143659872b30c
151b03731aa80
hexe8dbeaf500

1000122021120 has 144 divisors (see below), whose sum is σ = 3230030018880. Its totient is φ = 263702495232.

The previous prime is 1000122021103. The next prime is 1000122021121. The reversal of 1000122021120 is 211202210001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000122021096 and 1000122021105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000122021121) 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, 1121434 + ... + 1804953.

It is an arithmetic number, because the mean of its divisors is an integer number (22430764020).

Almost surely, 21000122021120 is an apocalyptic number.

1000122021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000122021120 is an abundant number, since it is smaller than the sum of its proper divisors (2229907997760).

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

1000122021120 is an equidigital number, since it uses as much as digits as its factorization.

1000122021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926500 (or 2926486 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000122021120 its reverse (211202210001), we get a palindrome (1211324231121).

The spelling of 1000122021120 in words is "one trillion, one hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 89 96 120 128 160 178 192 240 256 267 320 356 384 445 480 534 640 712 768 890 960 1068 1280 1335 1424 1780 1920 2136 2670 2848 3560 3840 4272 5340 5696 7120 8544 10680 11392 14240 17088 21360 22784 28480 34176 42720 56960 68352 85440 113920 170880 341760 2926387 5852774 8779161 11705548 14631935 17558322 23411096 29263870 35116644 43895805 46822192 58527740 70233288 87791610 93644384 117055480 140466576 175583220 187288768 234110960 260448443 280933152 351166440 374577536 468221920 520896886 561866304 702332880 749155072 781345329 936443840 1041793772 1123732608 1302242215 1404665760 1562690658 1872887680 2083587544 2247465216 2604484430 2809331520 3125381316 3745775360 3906726645 4167175088 5208968860 5618663040 6250762632 7813453290 8334350176 10417937720 11237326080 12501525264 15626906580 16668700352 20835875440 25003050528 31253813160 33337400704 41671750880 50006101056 62507626320 66674801408 83343501760 100012202112 125015252640 166687003520 200024404224 250030505280 333374007040 500061010560 1000122021120