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212121012202120 = 23572373451206101
BaseRepresentation
bin110000001110110001000101…
…100101001110101010001000
31000211001120102001111222010201
4300032301011211032222020
5210300342313110431440
62031051014151021544
762452144266144160
oct6016610545165210
91024046361458121
10212121012202120
116165201a44a74a
121b95a58196a8b4
139148c05785c98
143a549d71515a0
15197cb4ac5719a
hexc0ec4594ea88

212121012202120 has 128 divisors (see below), whose sum is σ = 576966266749440. Its totient is φ = 68612204390400.

The previous prime is 212121012202087. The next prime is 212121012202129. The reversal of 212121012202120 is 21202210121212.

It is a super-3 number, since 3×2121210122021203 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212121012202129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225132931 + ... + 226073170.

It is an arithmetic number, because the mean of its divisors is an integer number (4507548958980).

Almost surely, 2212121012202120 is an apocalyptic number.

212121012202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121012202120 is an abundant number, since it is smaller than the sum of its proper divisors (364845254547320).

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

212121012202120 is a wasteful number, since it uses less digits than its factorization.

212121012202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451206215 (or 451206211 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 212121012202120 its reverse (21202210121212), we get a palindrome (233323222323332).

The spelling of 212121012202120 in words is "two hundred twelve trillion, one hundred twenty-one billion, twelve million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 73 92 115 140 146 161 184 230 280 292 322 365 460 511 584 644 730 805 920 1022 1288 1460 1610 1679 2044 2555 2920 3220 3358 4088 5110 6440 6716 8395 10220 11753 13432 16790 20440 23506 33580 47012 58765 67160 94024 117530 235060 470120 451206101 902412202 1804824404 2256030505 3158442707 3609648808 4512061010 6316885414 9024122020 10377740323 12633770828 15792213535 18048244040 20755480646 25267541656 31584427070 32938045373 41510961292 51888701615 63168854140 65876090746 72644182261 83021922584 103777403230 126337708280 131752181492 145288364522 164690226865 207554806460 230566317611 263504362984 290576729044 329380453730 363220911305 415109612920 461132635222 581153458088 658760907460 726441822610 757575043579 922265270444 1152831588055 1317521814920 1452883645220 1515150087158 1844530540888 2305663176110 2905767290440 3030300174316 3787875217895 4611326352220 5303025305053 6060600348632 7575750435790 9222652704440 10606050610106 15151500871580 21212101220212 26515126525265 30303001743160 42424202440424 53030253050530 106060506101060 212121012202120